d derivative of -c**6/5 + c**5/5 + c**4/6 - 19*c - 1. Determine j so that l(j) = 0.
-1/3, 0, 1
Suppose 2*t - 4*t + 4 = 0. Let v = 884 + -884. Factor -3 - 5*l**2 - 7*l + v*l**2 + 0*l**2 - l**3 + 0*l**t.
-(l + 1)**2*(l + 3)
Let o be (1/8)/(-38*34/(-2584)). Find s such that -7*s + 49 + o*s**2 = 0.
14
Let o = 7 - 7. Let u be -1 - (-1 - (3 - o)). Determine b so that -4*b**2 + 2*b**4 - u*b**4 + b**4 - 4*b**4 + 8*b**3 = 0.
0, 1
Suppose 47*f = 44*f + 6. Let o(i) be the first derivative of 3/10*i**f - 2 - 6/5*i + 1/5*i**3. Factor o(u).
3*(u - 1)*(u + 2)/5
Let z(h) = -13*h**2 + 218*h - 4337. Let d(j) = 2*j**2 + 2*j + 1. Let v(g) = 5*d(g) + z(g). Factor v(n).
-3*(n - 38)**2
Let o be (18/312)/((-45)/(-40) + -1). Factor 2/13*w**2 + 4/13*w - o.
2*(w - 1)*(w + 3)/13
Let h(z) be the third derivative of z**6/600 + z**5/75 - 7*z**4/40 - 147*z**2. Factor h(d).
d*(d - 3)*(d + 7)/5
Let n(k) = -k**3 - 3*k**2 - k + 1. Let a be n(-4). Let c be (-12)/9*a/(-14). Solve 2/9*b**c + 4/9*b - 2/3 = 0.
-3, 1
Suppose -228/17*w**2 + 910/17*w**3 + 16/17 - 56/17*w - 392/17*w**4 = 0. What is w?
-1/4, 2/7, 2
Suppose 1 - 11 = 5*g. Let p(r) = 20 - 37 + 21. Let z(i) = -i**2 - 1. Let y(h) = g*z(h) - p(h). Let y(w) = 0. Calculate w.
-1, 1
Let t(p) be the third derivative of -p**5/20 + p**4/2 - 3*p**3/2 + 227*p**2 - p. Suppose t(r) = 0. What is r?
1, 3
Suppose 3*l - 4*o = 25, 7*o = l + 10*o + 9. Factor 10*n**2 + 13*n**2 - 8*n - l*n**2 + 4*n**4 - 16*n**3.
4*n*(n - 2)*(n - 1)**2
Let n be (17 - 21) + -3*8/(-6). Let j(o) be the third derivative of 1/540*o**6 - 1/135*o**5 + 1/108*o**4 + 3*o**2 + n*o + 0*o**3 + 0. Factor j(q).
2*q*(q - 1)**2/9
Let q(f) be the first derivative of -2*f**6/3 + 8*f**5/5 + f**4 - 8*f**3/3 + 30. Suppose q(b) = 0. What is b?
-1, 0, 1, 2
Suppose -17 = -a + 3*k, 0 = a - 2*k + k - 7. Find f, given that -a*f**2 - 4*f**4 - 112*f - 90*f**2 + 2*f**3 - 34*f**3 - 48 = 0.
-3, -2, -1
Suppose -t + 23 - 23 = 0. Let p(v) be the second derivative of t*v**2 - 1/3*v**4 + 1/2*v**5 + 0*v**3 + 1/21*v**7 + 6*v + 0 - 4/15*v**6. Factor p(g).
2*g**2*(g - 2)*(g - 1)**2
Solve -4*v**5 + 2*v**5 + 634*v**4 + 6*v**5 - 598*v**4 = 0 for v.
-9, 0
Let q(z) be the first derivative of 2/3*z**3 + 3 + 8*z**2 - 5/2*z**4 + 1/3*z**6 + 8*z - 2/5*z**5. Factor q(v).
2*(v - 2)**2*(v + 1)**3
Let s = -26 - -51. Let o = s + 1. Solve -9*h**3 - 9*h**3 - 41*h**2 - o*h + h**2 - 3 - 1 = 0 for h.
-1, -2/9
Let t = -84 - -89. Find g such that -45*g**4 + 27*g**4 + 21*g**4 - 4*g**2 - g**t = 0.
-1, 0, 2
Let r be 55968/(-2816) + 4*5. Let 0 + r*w**2 - 1/8*w**5 + 3/8*w**4 - 3/8*w**3 + 0*w = 0. What is w?
0, 1
Let w(q) be the second derivative of -2/15*q**4 + 3/5*q**2 - 1/25*q**5 + 1/75*q**6 + 0 + 2/15*q**3 + 9*q. Let w(x) = 0. What is x?
-1, 1, 3
Let d = -141 - -161. Let x = d + -18. Factor -5/2*u - 1/2*u**x - 3/2 + 1/2*u**3.
(u - 3)*(u + 1)**2/2
Let z(p) be the second derivative of -p**5/20 + p**4/12 + p**3/6 + p**2 - 5*p. Let u be z(2). Factor u*k**2 + 2*k + 6 - 6 - 3*k**2.
-k*(3*k - 2)
Suppose -3*j + 3 = -0*j. Suppose 5*s + 3*k = j, k + 2*k = -9. Factor -3*n**3 + 103*n**2 - 94*n**s - 6*n + 3*n**3 - 3*n**4.
-3*n*(n - 1)**2*(n + 2)
Let y be (-1)/1*(-14 + 9 - -5). Suppose 1/8*h**3 + 1/4*h**2 + y + 0*h = 0. Calculate h.
-2, 0
Suppose 2*k = -2*a + 2, 0 = 2*a + 3*k - 0 - 2. Let r be a*(0 - 3) + 3. Let 8*x**2 + 5*x + r*x - 11*x**2 - 2*x = 0. Calculate x.
0, 1
Let v(k) be the first derivative of k**6/2 - 18*k**5/5 - 45*k**4/4 - 8*k**3 + 22. Let v(z) = 0. Calculate z.
-1, 0, 8
Factor -3*x**3 - 15*x**2 + 99*x - 75*x + 0*x**3 - x**2 + 5*x**3.
2*x*(x - 6)*(x - 2)
Let q(c) be the third derivative of c**6/320 - 13*c**5/160 + 9*c**4/16 - 114*c**2 - 2*c. Factor q(j).
3*j*(j - 9)*(j - 4)/8
Suppose -26/7*t**4 - 10/7*t**5 - 8/7 + 2/7*t**3 + 34/7*t**2 + 8/7*t = 0. What is t?
-2, -1, 2/5, 1
Let w(r) be the second derivative of 0*r**2 - 9*r + 1/60*r**4 + 0*r**3 - 1/100*r**5 + 0. Factor w(f).
-f**2*(f - 1)/5
Factor -20/9*y + 2/9*y**2 + 14/3.
2*(y - 7)*(y - 3)/9
Let q(g) be the second derivative of -3/40*g**5 + 1/4*g**3 + 0 - 3/8*g**4 + 3/2*g**2 + 1/20*g**6 - 3*g. Factor q(n).
3*(n - 2)*(n - 1)*(n + 1)**2/2
Suppose -36 + 351 = 63*w. Determine m so that 1/4*m**w - 7/4*m**4 + 7/2*m**3 - 1/2*m**2 - 15/4*m + 9/4 = 0.
-1, 1, 3
Determine f, given that 2*f**2 + 8/7*f + 4/7*f**3 + 0 - 2/7*f**4 = 0.
-1, 0, 4
Let u be (-28)/10 + 3 + 14/5. Let k(f) be the first derivative of 0*f**2 - 1/4*f + 11/12*f**u - 9/8*f**4 + 2/5*f**5 - 3. Let k(h) = 0. What is h?
-1/4, 1/2, 1
Suppose -3*n + 3*k + 190 = 556, 0 = -3*n - k - 350. Let b = -116 - n. Solve 2/15*w - 4/15*w**b - 2/15*w**3 + 4/15 = 0 for w.
-2, -1, 1
Let a be -892 + (0 - (0 + -1))*3. Let s = 6233/7 + a. Let -8/7*p - s*p**2 - 4/7*p**3 - 2/7 = 0. What is p?
-1, -1/2
Let o be 6/5*(-10)/(-4). Factor -4 + 71 - 27 + 5*a**3 + 60*a + 30*a**2 + 0*a**o.
5*(a + 2)**3
Suppose 9*v - 14 = 2*v. Let q(c) be the first derivative of -7/12*c**3 + 0*c - 4 - 1/4*c**v. Factor q(g).
-g*(7*g + 2)/4
Let t(w) be the second derivative of -w**5/60 + 5*w**4/36 + 8*w**3/3 - 42*w**2 - 85*w. Solve t(n) = 0.
-7, 6
Let y be (3 + (-4)/4)*65/195. Determine o, given that 0*o + 2/3*o**2 - y = 0.
-1, 1
Factor 1/4*l**2 + 13/4*l + 0.
l*(l + 13)/4
Let b(c) be the first derivative of -5*c**3/7 - 39*c**2/14 + 103. Factor b(l).
-3*l*(5*l + 13)/7
Let d be ((-9)/21 + 1)/(645/1505). What is f in -d*f**2 - 20/3*f - 8 = 0?
-3, -2
Let l(a) be the first derivative of -12 + 0*a + 2/21*a**3 - 1/14*a**4 + 0*a**2. Solve l(m) = 0 for m.
0, 1
Let l = 103/27 + -97/27. Let -26/3*m**3 + 16/3 - l*m**5 + 148/9*m**2 - 136/9*m + 20/9*m**4 = 0. What is m?
1, 2, 3
Let k = 13 + -77/6. Let s(p) be the first derivative of 4/9*p**3 + 0*p + 1/3*p**2 + k*p**4 - 2. Let s(l) = 0. What is l?
-1, 0
Factor -16*g**2 + 3268*g - 3274*g + 0*g**3 + 6*g**3.
2*g*(g - 3)*(3*g + 1)
Let k(u) be the third derivative of -u**7/3360 + 7*u**6/480 - 49*u**5/160 + 25*u**4/24 + 14*u**2. Let a(b) be the second derivative of k(b). Factor a(f).
-3*(f - 7)**2/4
Let j = 114 - 114. Suppose -5*o + 6 = -9. What is v in 1/2*v - 3/4*v**2 + j + 1/4*v**o = 0?
0, 1, 2
Let h(a) be the first derivative of a**4 - 32*a**3/3 + 26*a**2 - 24*a + 24. Let h(w) = 0. What is w?
1, 6
Let n(z) = -35*z**3 + 150*z**2 - 169*z + 29. Let u(p) = -7*p**3 + 30*p**2 - 34*p + 6. Let y(a) = -6*n(a) + 33*u(a). Solve y(t) = 0 for t.
2/7, 2
Let r be (5 - -7)*6/(-4). Let j be (-27)/15 + 2 + r/(-30). Suppose -8/5 + 8/5*l + 6/5*l**2 - 2/5*l**4 - j*l**3 = 0. What is l?
-2, 1
Let x(l) be the first derivative of -l**4/38 - 50*l**3/19 - 1875*l**2/19 - 31250*l/19 + 148. Find q such that x(q) = 0.
-25
Let d(o) be the second derivative of -1/20*o**5 + 1/42*o**7 + 0*o**3 + 0 + 1/12*o**4 + 5*o - 1/30*o**6 + 0*o**2. Factor d(q).
q**2*(q - 1)**2*(q + 1)
Let h(g) = 5*g**2 + 15*g - 4. Suppose 7 = 9*w + 34. Let k(u) = -4*u**2 - 14*u + 3. Let n(p) = w*h(p) - 4*k(p). Determine q, given that n(q) = 0.
-11, 0
Factor -40000 + 20*r**3 - 1/4*r**4 + 8000*r - 600*r**2.
-(r - 20)**4/4
Let v = 27899/190 - 32/95. Let o = v + -4387/30. Factor -o + 2/15*j**2 - 2/15*j.
2*(j - 2)*(j + 1)/15
Solve -3*b**2 - 27/7 - 3/7*b**3 - 45/7*b = 0.
-3, -1
Suppose 0 = 12*n - 165 + 33. Let w(v) = -3*v + 33. Let j be w(n). Determine y so that j*y - 20/3*y**3 + 0 + 4*y**2 = 0.
0, 3/5
Suppose h**3 + 3*h**5 + 114*h**2 - 48*h + 351 + 343 + 12*h**4 - 82*h**3 - 694 = 0. What is h?
-8, 0, 1, 2
Let v be (1155/7623)/((-10)/(-72)). What is b in v + 2/11*b**2 + 14/11*b = 0?
-6, -1
Let y(t) be the first derivative of 3*t**4/28 + 3*t**3/7 - 27*t**2/14 - 81*t/7 - 111. Find w such that y(w) = 0.
-3, 3
Let q(v) be the second derivative of v**6/6 - 27*v**5/2 + 3365*v**4/12 + 1260*v**3 + 1960*v**2 + 642*v. Factor q(l).
5*(l - 28)**2*(l + 1)**2
Factor 0*h - 2/11*h**3 + 8/11 - 6/11*h**2.
-2*(h - 1)*(h + 2)**2/11
Let n(v) be the first derivative of -13/20*v**2 + 4/15*v**3 - 1/40*v**4 + 3/5*v - 2. Factor n(l).
-(l - 6)*(l - 1)**2/10
Let b(d) be the third derivative of d**10/151200 + d**9/75600 - d**8/16800 - d**4/3 - 7*d**2. Let r(a) be the second derivative of b(a). Factor r(v).
v**3*(v - 1)*(v + 2)/5
Let -691*l**2 - 7*l**4 + 741*l**2 + 5*l**4 + 48*l**3 = 0. Calculate l.
-1, 0, 25
Suppose -2*d + 4 = 2. Let u(a) = 5*a - 5*a - a + 2*a. Let m(n) = 3*n**2 - 12*n + 27. Let p(z) = d*m(z) - 6*u(z). Factor p(b).
3*(