74*v**3 + 6415*v**2 + 1265*v + 85. Let u(j) = f(j) + 3*m(j). Solve u(i) = 0 for i.
-1, -2/9, 11
Determine w, given that 6*w + 2/15*w**3 + 20/3 + 8/5*w**2 = 0.
-5, -2
Factor 96*l**3 + 14*l**2 + 23*l**2 - 54*l**4 + 4*l + 118*l**4 - l**2.
4*l*(l + 1)*(4*l + 1)**2
Let f(p) = -p**2 - 58*p + 680. Let g be f(-68). Factor g + 1/3*k + 1/3*k**2.
k*(k + 1)/3
Suppose 2*p + 4 + 4 = 0. Let l(a) = 2*a**3 - 5*a**2 - 4*a + 3. Let t(z) = 3*z**3 - 6*z**2 - 5*z + 4. Let h(y) = p*l(y) + 3*t(y). Factor h(q).
q*(q + 1)**2
Suppose 28*n = 29*n - 4. Let -35*p**5 - 35*p**4 + 115*p**2 - 20 - 34*p**n + 23*p - 5*p**3 + 17*p - 26*p**4 = 0. Calculate p.
-2, -1, 2/7, 1
Determine t so that -1/2*t**3 + 1/2*t + 3/2*t**2 - 1/2*t**4 - 1 = 0.
-2, -1, 1
Let g(x) be the second derivative of -x**6/30 - x**5/20 + 5*x**4/6 - 4*x**3/3 + 87*x. Factor g(k).
-k*(k - 2)*(k - 1)*(k + 4)
Let f(r) be the first derivative of 3*r**5/5 - 3*r**4 + 4*r**3 + 52. Find d, given that f(d) = 0.
0, 2
Suppose 6*u = -10*u + 80. Suppose 5*r = -u*r + 30. Let 0*i**r + 1/5*i**5 - 1/5*i + 0 + 2/5*i**4 - 2/5*i**2 = 0. What is i?
-1, 0, 1
Suppose 3*s + 13 = 49. Suppose -5*q + 9*q = s. Solve 21*d**2 - 13*d - q - 2*d - 3 = 0.
-2/7, 1
Let r be (0 + -7)/(-17 - -16). Factor -3*i**4 + 146*i**2 + 48*i**3 + 70*i**2 + 324 + r*i**4 + 159*i + 273*i.
4*(i + 3)**4
Let r(z) be the second derivative of 5*z**7/252 - 2*z**6/45 - 19*z**5/120 + 17*z**4/36 - z**3/9 - 2*z**2/3 + z + 19. Solve r(c) = 0.
-2, -2/5, 1, 2
Let z(c) be the third derivative of 0*c + 0*c**5 + 0*c**4 + 1/112*c**8 - 13*c**2 + 0*c**3 + 0 + 1/20*c**6 - 3/70*c**7. Solve z(m) = 0.
0, 1, 2
Let c(j) = 26*j**2 - 1. Let n be c(1). Suppose -60*i**3 + 3*i**5 + 5*i**5 + 12*i**5 - n*i**2 + 8*i - 5*i**4 + 2*i = 0. What is i?
-1, 0, 1/4, 2
Let j(z) be the third derivative of z**8/20160 - z**7/1890 + z**6/720 - z**4/3 + 5*z**2. Let q(y) be the second derivative of j(y). Find d, given that q(d) = 0.
0, 1, 3
Find n, given that -2/11*n**3 - 16/11*n + 10/11*n**2 + 8/11 = 0.
1, 2
Suppose 3*y - 11 = -5*f, -2*f + y = -3*y + 6. Let t be 0 - 1 - -3*f. Factor q**2 + 7*q**t - 5*q**2 + 5*q + 2*q**2.
5*q*(q + 1)
Let a(x) be the first derivative of -x**3 + 9*x**2/2 + 189. Factor a(m).
-3*m*(m - 3)
Let o(p) = p + 3. Let k be o(-5). Let j be 187/34 - k/4. Determine v so that -2*v + j*v**2 - 4*v**2 - 4*v**2 = 0.
-1, 0
Let y(p) be the second derivative of -32*p**2 + p + 0 - 1/3*p**4 + 16/3*p**3. Factor y(i).
-4*(i - 4)**2
Let t be -20 + 1 + (-3 - -4). Let d be (8/(-48))/(2/t). Factor 0 - d*p**4 + 3/2*p**2 - 3/2*p**3 + 3/2*p.
-3*p*(p - 1)*(p + 1)**2/2
Factor 274*v - 79*v + 19683 + 291*v - 2*v**2 + 5*v**2.
3*(v + 81)**2
What is f in 0 + 0*f + 16/9*f**3 + 5/9*f**5 - 4/9*f**2 - 17/9*f**4 = 0?
0, 2/5, 1, 2
Factor 22/7*d + 8 + 2/7*d**2.
2*(d + 4)*(d + 7)/7
Suppose -2 + 4 = p. Suppose 7*y**3 + y**4 + 1 - 6*y**5 - y - 5*y**3 - 2*y**p + 5*y**5 = 0. Calculate y.
-1, 1
Let k be 8 - (-9 - 171/(-27)). Factor -16/3*q + k + 2/3*q**2.
2*(q - 4)**2/3
Let o(k) be the third derivative of 4*k**2 - 1/112*k**8 + 0 + 0*k**6 + 0*k**3 - 1/10*k**5 + 0*k + 1/35*k**7 + 1/8*k**4. Determine i, given that o(i) = 0.
-1, 0, 1
Determine n so that 16/3 - 344*n - 159014/3*n**3 + 7396*n**2 = 0.
2/43
Let z be 548/10 + -5*3/(-75). Let j = 57 - z. Factor 0*o + 1/7*o**j - 4/7*o**4 - 3/7*o**3 + 0.
-o**2*(o + 1)*(4*o - 1)/7
Let -36*z - 3/4*z**3 + 48 + 9*z**2 = 0. What is z?
4
Let v(j) = -2*j**4 + j. Let t(i) = 14*i**4 + 300*i**3 + 194*i**2 + 34*i. Let w(m) = -2*t(m) + 4*v(m). Factor w(q).
-4*q*(q + 16)*(3*q + 1)**2
Suppose 14 = 6*q - 10. Let u(x) be the second derivative of 1/63*x**7 + 0*x**q + 0*x**3 - 1/90*x**5 + 0*x**2 + 4*x + 0 - 2/135*x**6. Factor u(v).
2*v**3*(v - 1)*(3*v + 1)/9
Let d(h) = h**2. Let a(p) = 17*p**2 + 14*p**2 - 55*p**2 + 26*p**2. Let z be (-2)/2*(-2)/2. Let m(v) = z*a(v) + 2*d(v). Find g, given that m(g) = 0.
0
Let x = 981 - 981. Let m(a) be the third derivative of 2/27*a**3 + x*a + 1/90*a**5 + 0 - 5/108*a**4 + 6*a**2. Factor m(g).
2*(g - 1)*(3*g - 2)/9
Let s = 25 - 28. Let a(r) = 3*r**3 - 6*r**2. Let m(h) = -3*h**3 + 5*h**2 + h - 1. Let y(o) = s*m(o) - 2*a(o). Factor y(g).
3*(g - 1)**2*(g + 1)
Let y = 283 + -280. Let h(j) be the first derivative of 1/20*j**4 + 4/5*j + 1/3*j**y + 4/5*j**2 - 1. Solve h(d) = 0 for d.
-2, -1
Let w(f) = f**2. Let d be w(-1). Factor 5*b**3 + d - 16 - 25*b**2 - 7 + 2 + 40*b.
5*(b - 2)**2*(b - 1)
Let h = 15240 - 15240. Factor -4/5*s**3 + h*s - 14/5*s**4 + 0*s**2 + 0.
-2*s**3*(7*s + 2)/5
Suppose -460 = 2*u - 464. What is n in -22/5*n**u - 3/5 - 7/5*n**4 - 1/5*n**5 - 13/5*n - 18/5*n**3 = 0?
-3, -1
Let h(v) be the first derivative of -3/7*v**2 + 2/21*v**3 + 0*v - 21. Factor h(y).
2*y*(y - 3)/7
Find k, given that -2*k**2 + 1/3*k**5 + 0 + 1/3*k**3 + 4/3*k**4 + 0*k = 0.
-3, -2, 0, 1
Suppose -5*n = -v - 35, -4*n - 55 = 2*v + n. Let h be v/8 + 4 - (-22)/8. Suppose 1/3*d**5 + 0 + 2/3*d**4 + 0*d + 0*d**2 + 1/3*d**h = 0. What is d?
-1, 0
Let j be 2/16 + (-16)/128. Let q(l) = -3*l. Let f be q(j). Let f + 1/4*i - 1/4*i**3 + 1/4*i**4 - 1/4*i**2 = 0. Calculate i.
-1, 0, 1
Let n(t) = -t**3 - 8*t**2 - 6*t + 22. Let v be n(-7). Find r, given that v - 46 + 18 - 5*r**2 + 18 = 0.
-1, 1
Let d(a) be the third derivative of 1/135*a**6 + 0*a - 1/135*a**5 + 1/1512*a**8 + 0 + 4/945*a**7 + 16*a**2 - 2/27*a**3 - 5/108*a**4. Solve d(m) = 0 for m.
-2, -1, 1
Let h(j) be the third derivative of 1/840*j**7 + 5*j**2 + 0*j - 1/240*j**5 + 0 + 0*j**6 + 0*j**3 + 0*j**4. Factor h(c).
c**2*(c - 1)*(c + 1)/4
Suppose -126 = -a - 2*a. Solve y + 0*y + a*y**3 - 43*y**3 = 0.
-1, 0, 1
Let z(k) be the first derivative of -k**6/9 + 7*k**5/15 - 5*k**4/12 - 5*k**3/9 + 7*k**2/6 - 2*k/3 - 89. Determine y, given that z(y) = 0.
-1, 1/2, 1, 2
Let a be (4/7)/((-188)/(-658)). Solve -4/7*o**a + 0 + 4/7*o**4 + 0*o**3 + 2/7*o**5 - 2/7*o = 0 for o.
-1, 0, 1
Let d be 6/156*-54 - -4. Let m = d + 187/65. Find s such that -12/5*s**2 - m*s - 2/5*s**3 - 16/5 = 0.
-2
Let d(h) be the first derivative of 5*h**6/6 - 2*h**5 - 986. Factor d(s).
5*s**4*(s - 2)
Let r(w) be the first derivative of 2*w**3/33 - 21*w**2/11 - 92*w/11 - 408. Factor r(l).
2*(l - 23)*(l + 2)/11
Let m(d) be the third derivative of d**9/30240 + d**8/2016 + d**7/315 + d**6/90 + 3*d**5/10 - 17*d**2. Let u(z) be the third derivative of m(z). Factor u(x).
2*(x + 1)*(x + 2)**2
Let d(t) be the second derivative of -t**4/6 + 10*t**3/3 - 9*t**2 - 80*t. Suppose d(f) = 0. Calculate f.
1, 9
Let z = -156 + 313/2. Solve 7/2*a + z + 7*a**2 + 4*a**3 = 0 for a.
-1, -1/2, -1/4
Solve -38*j**3 + 6*j**3 + 5*j**3 + 6*j**2 - 8*j + 29*j**3 = 0 for j.
-4, 0, 1
Let i(c) be the first derivative of -1/16*c**4 - 1/24*c**6 + 0*c + 1 + 0*c**2 + 1/10*c**5 + 0*c**3. Factor i(b).
-b**3*(b - 1)**2/4
Let y(v) = -3*v**2 + 30*v - 58. Let w(m) = m**2 - 10*m + 19. Let d(a) = -a - 1. Let c be d(-7). Let f(b) = c*y(b) + 17*w(b). What is i in f(i) = 0?
5
Let b(l) be the first derivative of -4/9*l + 22 + 1/6*l**2 + 1/27*l**3. Let b(c) = 0. What is c?
-4, 1
Let b be (-13 - (412/(-42) + -3))/(2/(-3)). Find q, given that b*q + 4/7 - 2/7*q**2 = 0.
-1, 2
Let a(k) be the first derivative of k**5/30 - k**4/12 + k**3/18 - 17. Factor a(j).
j**2*(j - 1)**2/6
Let x(y) = -127. Let r(f) = 2*f + 253. Let w(i) = 2*r(i) + 5*x(i). Let u be w(33). Determine n, given that 3/5*n**u - 6/5*n**2 + 6/5 - 3/5*n = 0.
-1, 1, 2
Let c = 1013/2664 + 19/296. Let d = -1 + 1. Factor -2/9*k**3 + d - 2/9*k + c*k**2.
-2*k*(k - 1)**2/9
Factor -1/2*f + 2*f**2 + 0.
f*(4*f - 1)/2
Let o be (-7)/(-6) + ((-16)/20)/((-12)/(-10)). Factor -5/2 + 2*c**3 - o*c**4 + 3*c**2 - 2*c.
-(c - 5)*(c - 1)*(c + 1)**2/2
Let c = 17/15 - 4/5. Suppose l = -3*t - 3, -99*l + 95*l + 4 = 4*t. Find q such that -6*q**2 + 8/3*q - c + 9*q**4 + 0*q**l = 0.
-1, 1/3
Factor 12*b + 3/2*b**2 + 6 + 3/2*b**5 - 15/2*b**3 - 3/2*b**4.
3*(b - 2)**2*(b + 1)**3/2
Factor -1/4*q**2 - 1/4*q + 0.
-q*(q + 1)/4
Let z(m) be the third derivative of m**7/420 - m**6/80 + m**5/40 - m**4/48 + 102*m**2. Factor z(o).
o*(o - 1)**3/2
Let u(a) be the third derivative of -a**6/540 - a**5/54 - 144*a**2. Let u(m) = 0. Calculate m.
-5, 0
Let d(n) = -n**2 - 5*n + 68. Let s be d(-11). Let z(x) be the second derivative of -s*x - 1/6*x**4 - 1/20*x**5 + 0 - 1/6*x**3 + 0*x**2. Solve z(i) = 0 for i.
-1, 0
Let s(d) = 8*d**2 + 3*d + 4. Let t