d(g) = 0.
-3, -2, -1, 0, 2
Let n = 40 + 2. Suppose -35*k**2 - 60 + 419*k**3 + 38*k + n*k - 414*k**3 = 0. What is k?
2, 3
Factor -264/7*f + 144/7 - 27/7*f**3 + 153/7*f**2.
-3*(f - 3)*(3*f - 4)**2/7
Determine p so that 2688/5*p - 498/5*p**3 - 3072/5 + 816/5*p**2 - 3/5*p**5 + 69/5*p**4 = 0.
-2, 1, 8
Let c(i) be the third derivative of -i**4/24 - 2*i**3/3 - 21*i**2. Let a be c(-6). Factor -a + 2*r - 1/2*r**2.
-(r - 2)**2/2
Let j(l) be the first derivative of l**3/12 + 13*l**2/8 + 9*l + 32. Factor j(r).
(r + 4)*(r + 9)/4
Let y be ((-5)/2)/((-2)/4). Let g be (0 - -7)/1*(1 - 0). Suppose 5*r - 8 + y*r**2 + 3*r - g*r**2 = 0. Calculate r.
2
Suppose -91 = -4*u + 21. Let x be (6/(-21))/((-4)/u). Factor 3*y - x*y**2 - y**5 - 26*y**4 - 2*y + 28*y**4.
-y*(y - 1)**3*(y + 1)
Let a be (-2)/(-1) - (-20)/20. Let g(o) be the first derivative of -5/14*o**4 + 4/7*o - o**2 + 2/35*o**5 + 6/7*o**3 + a. Factor g(j).
2*(j - 2)*(j - 1)**3/7
Let g be (-20)/(1/(-2) - 0). Determine v, given that 8*v**2 + v**2 + 80 - 4*v**2 + g*v = 0.
-4
Suppose 0*m + 4*m = 12. Determine s so that 10*s**m + s**2 + 7*s + s**4 - 17*s + 4*s**4 - 6*s**2 = 0.
-2, -1, 0, 1
Factor -15/11*c**2 + 4/11 - 4/11*c.
-(3*c + 2)*(5*c - 2)/11
Let h(q) = 2*q**2 + 2*q - 5. Let p be h(-7). Factor 18*v**2 + p*v + 7*v**3 - 76*v + 8*v**3.
3*v*(v + 1)*(5*v + 1)
Let h be 4/((-8)/3) + 721/206. Find o such that 12/7 + 16/7*o + 4/7*o**h = 0.
-3, -1
Let h(f) be the first derivative of 0*f**2 + 0*f - 1/12*f**3 + 26. Factor h(x).
-x**2/4
Let k = -4 + 6. Factor -1939*z + 4*z**2 - k*z**3 + 1939*z.
-2*z**2*(z - 2)
Let n be (-96)/288*(-15)/2. Let o(v) be the second derivative of -3/4*v**4 + 4*v - n*v**3 - 3*v**2 + 0. Find t such that o(t) = 0.
-1, -2/3
Let j be 224/(-140)*15/(-12). Determine p, given that -1 + 2*p**j - 1/3*p - p**4 - 1/3*p**5 + 2/3*p**3 = 0.
-3, -1, 1
Let n = -37 + 39. Let d(v) = -3*v**2 + 2*v + 2. Let w(o) = -16*o**2 + 11*o + 11. Let a(y) = n*w(y) - 11*d(y). Factor a(t).
t**2
Suppose c + 14 = 3*c. Let w be (14/(-42))/(2/(-24)). Find i such that w*i**2 + c*i**3 + 3*i - 5*i**3 + 3*i - 4*i = 0.
-1, 0
Let m(h) be the third derivative of h**8/1512 - 2*h**7/315 - 17*h**6/270 - 28*h**5/135 - 13*h**4/36 - 10*h**3/27 - h**2 + 4. What is t in m(t) = 0?
-1, 10
Let s be (-11)/(-2) + (15/6)/5. Suppose -s*z = -14*z. Factor z - 3/4*v**2 + 1/4*v.
-v*(3*v - 1)/4
Suppose -6*s + 4*y + 6 = -s, 0 = -2*s + 4*y. Factor 1/5*o**s + 9/5 - 6/5*o.
(o - 3)**2/5
Let a be 1/5*(-18 + 38). Let g(p) be the first derivative of -14/9*p**3 - 1/6*p**a - 1/3*p**2 + 2/9*p**6 + 4/3*p + 5 + 2/3*p**5. Find h such that g(h) = 0.
-2, -1, 1/2, 1
Let i(p) be the third derivative of -p**6/165 + 3*p**5/110 - p**4/66 + 62*p**2. What is a in i(a) = 0?
0, 1/4, 2
Let s(r) be the first derivative of 12/7*r + 0*r**2 - 15 - 1/7*r**3. Suppose s(y) = 0. Calculate y.
-2, 2
Let d(k) = k**2 + 5*k - 9. Let r be d(-8). Let c = r + -3. Factor -39*v + 15*v + 18*v**2 - 3*v**3 - c*v + 24.
-3*(v - 2)**3
Let m(h) = -2*h**2 - 6*h - 2. Let p be m(-2). Factor -4/3*r**p + 38/3*r - 4 - 2*r**3.
-2*(r - 2)*(r + 3)*(3*r - 1)/3
Suppose 9*i + 447 + 489 = 0. Let d = -99 - i. Factor -d*m**2 + 11/4*m**3 + 1/2 + 7/4*m.
(m - 1)**2*(11*m + 2)/4
Let u(i) be the third derivative of i**8/546 + i**7/65 + i**6/156 + 19*i**2 + 1. Let u(x) = 0. Calculate x.
-5, -1/4, 0
Let z(t) be the third derivative of -t**6/360 - 13*t**5/180 - 11*t**4/36 - 9*t**2 + 6. Determine q, given that z(q) = 0.
-11, -2, 0
Let p(r) be the first derivative of -r**6/480 + r**5/40 - 3*r**4/32 + 17*r**3/3 - 3. Let l(x) be the third derivative of p(x). Factor l(k).
-3*(k - 3)*(k - 1)/4
Suppose 2*u = -4*c + 60, 3*c - 5*c + 42 = -5*u. Factor -2*j**4 + c*j - 17*j - 2*j**4 - 4*j**2 - 6*j**3 - j**5.
-j*(j + 1)**4
Let c(g) be the first derivative of 5*g**6/6 + 13*g**5 - 225*g**4/4 + 235*g**3/3 - 40*g**2 + 144. Determine u, given that c(u) = 0.
-16, 0, 1
Let v(g) = 3*g**2 + 6*g + 2. Let k be v(-2). Factor -1 + 2*u**2 - 4*u**2 + 4*u**k - 4*u**2 - 3*u.
-(u + 1)*(2*u + 1)
Let f(d) be the third derivative of 0*d - 1/68*d**4 + 1/510*d**5 + 0 + 19*d**2 + 0*d**3. Factor f(v).
2*v*(v - 3)/17
Determine l, given that 48 - 87 + 44 + 45*l**2 - 9*l**3 + 29*l**3 + 30*l = 0.
-1, -1/4
Let x(l) be the third derivative of -l**4/12 - 7*l**3/6 + 8*l**2. Let c be x(-5). Find y, given that -2*y**2 - 2*y**c - y**3 + 4*y**2 + 0*y**3 + y**4 = 0.
0, 1, 2
Suppose 0 = -g - 7*g + 80. Factor 23*c - 10*c**2 - g*c**3 + 15*c**4 - 5 - 3*c**5 - 2*c**5 - 8*c.
-5*(c - 1)**4*(c + 1)
Let p(x) be the second derivative of x**6/150 + 11*x**5/100 + 7*x**4/12 + 5*x**3/6 - 37*x + 1. Suppose p(f) = 0. What is f?
-5, -1, 0
Factor -788*y - 28 - 7 - 5*y**2 + 748*y.
-5*(y + 1)*(y + 7)
Factor -92*o**3 - 355*o**2 - 254*o**2 + 68*o + 658*o**4 + 30*o - 671*o**4 - 88*o**3.
-o*(o + 7)**2*(13*o - 2)
Let r(g) = -38*g - 453. Let j be r(-12). Factor 2/13*p**j + 0*p**2 + 0 + 0*p.
2*p**3/13
Let p(j) = 33*j**2 + 404*j - 20397. Let x(a) = -53*a**2 - 606*a + 30595. Let h(b) = 8*p(b) + 5*x(b). Suppose h(d) = 0. Calculate d.
101
Factor 31*q**2 - 64*q**2 + 35*q**2 - 2*q - 40.
2*(q - 5)*(q + 4)
Factor 1344*q + 3136 + 6*q**3 + 8*q**3 + 2*q**3 - 108*q**2 - 14*q**3.
2*(q - 28)**2*(q + 2)
Let i be (-1)/((-2)/(8/20))*1. Let k be 0/(1 + (1 - 3)). What is h in -i*h + k + 1/5*h**2 = 0?
0, 1
Factor 81*i + 194*i**4 + 23*i**2 - 97*i**4 - 36*i**3 + 30*i**2 + i**2 + 3*i**5 - 103*i**4.
3*i*(i - 3)**2*(i + 1)*(i + 3)
Solve -72 - 28*i**5 - 128*i - 85*i**4 + 216*i**3 + 304*i**2 - 60*i - 147*i**4 = 0 for i.
-9, -1, -2/7, 1
Let y be 2/5 - (-7277)/95. Let -81*c**4 - 6 - 7*c**3 + 12*c**2 + 4*c + 3*c**3 - 2 + y*c**4 = 0. Calculate c.
-2, -1, 1
Let y = -5 + 7. Factor 11*d**y - 13*d**2 + 21*d**5 - 3*d**3 - 20*d**5.
d**2*(d - 2)*(d + 1)**2
Factor 4/3*c**2 - 1/3*c**4 + 0 + 1/3*c**3 - 4/3*c.
-c*(c - 2)*(c - 1)*(c + 2)/3
Let j(u) be the third derivative of -u**6/30 - 7*u**5/12 + 49*u**4/24 - 5*u**3/3 + 100*u**2. Suppose j(x) = 0. What is x?
-10, 1/4, 1
Let f be 15*(6/15 - 0). Suppose -22*r**3 + 8*r**5 + 2*r**4 - 4*r**2 + f*r**3 + 8*r + 0*r**2 + 2 = 0. What is r?
-1, -1/4, 1
Factor 124/7*o**2 - 400/7*o + 272/7 + 4/7*o**3.
4*(o - 2)*(o - 1)*(o + 34)/7
Let j(d) = d**2 - d. Suppose 5*p + 6 = -5*s + 1, 0 = -4*s - p - 4. Let r(n) = 4*n**2 + 21*n - 25. Let x(o) = s*j(o) - r(o). Find v, given that x(v) = 0.
-5, 1
Suppose -44*i - 340 - 21*i - 6*i**2 + 16 - 7*i + 2*i**2 = 0. What is i?
-9
Let l = -115 - -119. Let v be 1/l + 6/24*2. Factor -v + 15/4*x - 9/4*x**2 - 27/4*x**3.
-3*(x + 1)*(3*x - 1)**2/4
Suppose -180/11*b - 4050/11 - 2/11*b**2 = 0. What is b?
-45
Let b(y) be the third derivative of y**8/336 - y**7/42 + y**5/3 - 2*y**4/3 + 204*y**2. Solve b(r) = 0.
-2, 0, 1, 2, 4
Suppose 0 = -0*s - 4*s + 5*c - 627, 306 = -2*s + 4*c. Let v = 165 + s. Factor -4*n - 8 - 1/2*n**v.
-(n + 4)**2/2
Suppose k = 2*k - 3*d - 12, 5*d + 12 = -k. Let b(u) be the first derivative of -8/5*u + 4*u**2 - 9 - 10/3*u**k. Suppose b(n) = 0. What is n?
2/5
Let c(v) be the third derivative of 0*v + 0*v**4 + 1/150*v**6 + 0 + 0*v**3 + 2/75*v**5 - 8*v**2 - 2/525*v**7. Suppose c(s) = 0. Calculate s.
-1, 0, 2
Find c, given that 0*c + 5/3*c**3 + 0 + 1/3*c**5 + 0*c**2 - 2*c**4 = 0.
0, 1, 5
Let s = 358 - 1073/3. Factor 0 - 4/3*r - s*r**3 - 4/3*r**2.
-r*(r + 2)**2/3
Let x = -215 + 215. Let m(h) = -h + 12. Let n be m(12). Factor x*s + 0*s**2 + 3/2*s**3 - 3/2*s**4 + n.
-3*s**3*(s - 1)/2
Let g = 1606 + -1606. Let h(p) be the first derivative of -9 + 0*p**3 + 0*p**2 + g*p + 0*p**4 + 3/5*p**5 - 1/2*p**6. Find n such that h(n) = 0.
0, 1
Let q(l) be the second derivative of l**10/181440 - l**8/40320 + l**4 - 7*l. Let t(b) be the third derivative of q(b). Solve t(f) = 0 for f.
-1, 0, 1
Let f(a) be the third derivative of a**5/360 + a**4/48 - 5*a**3/18 - 25*a**2. Factor f(z).
(z - 2)*(z + 5)/6
Let f(n) be the third derivative of n**5/180 + 23*n**4/72 - 81*n**2. Suppose f(y) = 0. Calculate y.
-23, 0
Suppose -4*s - 161 = -z, 0*s + 2*s = 3*z - 433. Find t, given that 69*t**3 + z*t**2 - 144*t**4 + 39*t - 84*t**5 + 3 + 13*t**5 - 37*t**5 = 0.
-1, -1/6, 1
Suppose y + 2 = 2*y. Let j = -70/13 + 433/78. Solve -j*n**y + 2/3 + 0*n = 0.
-2, 2
Let f = 1583 + -1581. Factor -1/3*h + h**3 + 0 - 2/3*h**f.
h*(h - 1)*(3*h + 1)/3
Let -199*j**2 - 190*j**2 + 386*j**2 + 42 - 39*j = 0. Calculate j.
-14, 1
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