3*(q - 1)**3*(q + 2)**2/2
Let q(j) be the first derivative of 45/4*j + 3/4*j**2 - 1/4*j**3 + 89. What is f in q(f) = 0?
-3, 5
Determine w, given that 32/5*w**2 - 652/5*w - 136 + 4/5*w**3 = 0.
-17, -1, 10
Let w(u) be the third derivative of 43/32*u**4 + 0*u + 15/4*u**3 + 0 + 1/160*u**6 - 183*u**2 + 7/40*u**5. Factor w(g).
3*(g + 1)*(g + 3)*(g + 10)/4
Let l be (-26)/(-72) + 2/9*39/(-26). Let n(q) be the third derivative of l*q**3 + 1/36*q**4 + 1/90*q**5 + 6*q**2 + 0*q + 0. Find v, given that n(v) = 0.
-1/2
Factor 0*f + 0 - 1/3*f**4 + 4/3*f**2 - 2/3*f**3 + 1/6*f**5.
f**2*(f - 2)**2*(f + 2)/6
Suppose 83*d = 110*d - 65*d. Let l(m) be the first derivative of 11 - 1/8*m**4 + m + 3/4*m**2 + d*m**3. Factor l(a).
-(a - 2)*(a + 1)**2/2
Factor 12*g**2 + 24/5*g**3 + 2/5*g**4 - 40*g - 150.
2*(g - 3)*(g + 5)**3/5
Let g(y) be the first derivative of -12/5*y**5 - 2*y**4 + 0*y + 0*y**2 + 77 + 0*y**3. Factor g(r).
-4*r**3*(3*r + 2)
Let y(n) be the third derivative of -n**6/150 - n**5/25 + 3*n**4/10 - 2*n**3/3 - 8*n**2 - 169*n. Suppose y(k) = 0. Calculate k.
-5, 1
Let l = 3968 + -1518. Let k = l - 2448. What is n in -3/2*n**k - 3/2*n + 9 = 0?
-3, 2
Let m(d) be the first derivative of d**3/4 - 39*d**2/8 + 33*d/2 - 2854. Find z such that m(z) = 0.
2, 11
Suppose 5*r = -3*x + 11, -4*x - 4*r + 13 = -3*x. Let b be (x/(135/(-36)))/(2*3). Let b*k - 4/15 + 2/15*k**2 = 0. Calculate k.
-2, 1
Let m(o) be the third derivative of o**7/385 - o**6/10 + 41*o**5/110 - 5*o**4/11 + 517*o**2. Let m(w) = 0. What is w?
0, 1, 20
Let n(z) be the second derivative of z**5/60 + 391*z**4/36 + 19012*z**3/9 - 19208*z**2/3 - 2583*z + 1. Factor n(v).
(v - 1)*(v + 196)**2/3
Solve 4/3*h**2 + 128/3*h - 44 = 0 for h.
-33, 1
Let y = 884 + -890. Let n be y + ((-2)/(-38))/(3/348). Find u, given that 0 - 2/19*u**2 + n*u = 0.
0, 1
Let o(r) be the second derivative of -1/4*r**4 - 6*r**2 - 5/2*r**3 + 141*r + 0. Determine m, given that o(m) = 0.
-4, -1
Let c(w) be the second derivative of -w**4/18 - 68*w**3/9 + 365*w**2/3 + 1268*w. Factor c(a).
-2*(a - 5)*(a + 73)/3
Let f be (6/(-15))/(((-92)/120)/23). Suppose -4*q = f, -12*q + 11*q = 2*a - 3. Find z such that z**4 + 0 + 9/4*z**a + 3/2*z**2 + 1/4*z = 0.
-1, -1/4, 0
Determine d so that 0 + 325/2*d + 1/4*d**2 = 0.
-650, 0
Let v(y) be the second derivative of -8*y**3 - 22*y - 27/20*y**5 + 0 + 0*y**2 - 6*y**4 - 1/10*y**6. Factor v(w).
-3*w*(w + 1)*(w + 4)**2
Factor -4269*i**3 - 47*i**2 + 25*i**2 - 1081*i**3 + 18*i**2.
-2*i**2*(2675*i + 2)
Let z be (-3)/33*-1 - (-10082)/781. Let q(b) be the second derivative of -z*b + 0 - 1/20*b**4 + 0*b**2 - 3/100*b**5 + 1/5*b**3. Factor q(j).
-3*j*(j - 1)*(j + 2)/5
Let i(c) be the first derivative of -4*c**5/15 + c**4/9 + 8*c**3/27 - 534. Find g, given that i(g) = 0.
-2/3, 0, 1
Let z(q) be the third derivative of q**9/10584 + 3*q**8/1960 + 2*q**7/735 + 127*q**3/6 - 4*q**2 - 24. Let n(f) be the first derivative of z(f). Factor n(k).
2*k**3*(k + 1)*(k + 8)/7
Let f(h) be the second derivative of h**8/3360 - h**7/252 + 47*h**4/12 + 134*h. Let l(j) be the third derivative of f(j). Find u, given that l(u) = 0.
0, 5
Let j(i) be the third derivative of -1/420*i**6 - 1/490*i**7 + i**2 + 1/56*i**4 + 1/210*i**5 + 0*i + 40 - 1/2352*i**8 + 1/42*i**3. What is v in j(v) = 0?
-1, 1
Factor -6/11*b**2 - 3642/11*b - 3636/11.
-6*(b + 1)*(b + 606)/11
Let n(o) = -16*o**3 + 34 - 10*o**2 - 26 - 26 + 11*o + 3*o. Let x(j) = 2*j**3 + j**2 + j + 1. Let w(s) = n(s) + 6*x(s). Factor w(c).
-4*(c - 1)**2*(c + 3)
Suppose -2/3 - 1036*z - 3106/3*z**2 = 0. What is z?
-1, -1/1553
Let 2*x**4 + 0*x**2 - 3*x**4 + 6*x**2 + 3*x**4 + 10*x - 6*x**3 - 12*x = 0. Calculate x.
0, 1
Let j be (-70)/(-30) + 2/(-3 - -1). Let z(g) be the first derivative of -11 - 4*g + 0*g**2 + j*g**3. Factor z(q).
4*(q - 1)*(q + 1)
Let x(j) be the first derivative of -j**6/60 - 13*j**5/150 + j**4/10 - 38*j**2 - 126. Let d(w) be the second derivative of x(w). Factor d(y).
-2*y*(y + 3)*(5*y - 2)/5
Let i(w) be the first derivative of 1/2*w**3 + 0*w - 9/8*w**4 - 3/10*w**5 + 57 + 9/4*w**2. Factor i(u).
-3*u*(u - 1)*(u + 1)*(u + 3)/2
Let b be -1*(1/(-3))/((-1)/(-9)). Let 1332 - 1332 - 12*c**b + 4*c**4 = 0. Calculate c.
0, 3
Let u be (-4)/24 + (-5200)/(-1248). Factor 4 + 2*r**2 - 1/8*r**5 + 6*r - r**3 - 3/4*r**u.
-(r - 2)*(r + 2)**4/8
Let r = 1193332 - 1193329. Let 0 - 1/3*p - 1/2*p**2 - 1/6*p**r = 0. Calculate p.
-2, -1, 0
Suppose 138 = -3*c + 4*k + 164, -5*k + 72 = c. Determine q, given that 0 + 2/5*q**4 - 1568/5*q + 1456/5*q**2 + c*q**3 = 0.
-28, 0, 1
Let c(m) be the second derivative of -m**4/6 - 466*m**3 - 488601*m**2 + 35*m + 13. Factor c(s).
-2*(s + 699)**2
Let d(j) = -21*j**3 + 24*j**2 - 162*j + 382. Let t(s) = -73*s**3 + 73*s**2 - 487*s + 1145. Let v(m) = -21*d(m) + 6*t(m). Find o, given that v(o) = 0.
6, 8
Let b = -434222 + 1302686/3. Solve -35/3*g - b + 70/3*g**2 - 5*g**3 = 0.
-1/3, 1, 4
Let w(t) = 123*t + 33. Let r be w(4). Let c = -1546/3 + r. Find n, given that 0 + 7/3*n**4 + 10*n**3 + c*n**2 + 2*n = 0.
-3, -1, -2/7, 0
Let v(h) be the second derivative of -h**5/190 + 5*h**4/57 + 4*h**3/57 - 40*h**2/19 - 1300*h + 2. Factor v(q).
-2*(q - 10)*(q - 2)*(q + 2)/19
Let w = 328961/13426 + -12/6713. Factor w*f - 7*f**2 + 0 + 1/2*f**3.
f*(f - 7)**2/2
Let b(h) be the third derivative of -h**8/48 + 19*h**7/210 + h**6/20 - 7*h**5/15 - h**4/3 + 1067*h**2 - 2. Let b(r) = 0. Calculate r.
-1, -2/7, 0, 2
Suppose 42*r**3 + 5401*r + 983*r - 133*r**2 - 38*r**3 + 461*r**2 - 14112 = 0. Calculate r.
-42, 2
Let y(k) be the third derivative of k**5/90 - 193*k**4/36 + 64*k**3/3 + 32*k**2 + 26*k + 1. Solve y(s) = 0 for s.
1, 192
Find w, given that -6/11*w + 10/11*w**3 - 8/11*w**4 + 4/11*w**2 + 0 = 0.
-3/4, 0, 1
Let c(i) be the third derivative of 11*i**7/735 + 13*i**6/42 + 5*i**5/14 - 65*i**4/21 + 44*i**3/21 + 40*i**2 - 15*i. Determine r, given that c(r) = 0.
-11, -2, 2/11, 1
Factor 11186283 + 5793*t + 3/4*t**2.
3*(t + 3862)**2/4
Suppose -5*h + 6*h = 312. Find g, given that -5*g**3 + 4*g**3 - 3*g**3 - h*g + 328*g = 0.
-2, 0, 2
Let y(z) be the third derivative of -z**8/120 + 26*z**7/525 + 281*z**6/300 + 76*z**5/25 + 9*z**4/5 + 559*z**2. Determine j so that y(j) = 0.
-3, -2, -2/7, 0, 9
Let z(w) = 9*w**4 + 17*w**3 - 106*w**2 + 160*w + 4. Let v(l) = 52*l**4 + 101*l**3 - 636*l**2 + 958*l + 23. Let n(k) = -4*v(k) + 23*z(k). Factor n(o).
-o*(o - 4)*(o - 2)*(o + 19)
Let i = 14944 + -14942. Let t(o) be the first derivative of -10 - 1/18*o**3 + 0*o - 1/12*o**i. Suppose t(b) = 0. Calculate b.
-1, 0
Let c(l) = 10*l**3 - 1785*l**2 + 891*l + 905. Let i(m) = -120*m**3 + 21420*m**2 - 10690*m - 10855. Let x(z) = -35*c(z) - 3*i(z). Find o such that x(o) = 0.
-1/2, 1, 178
Let b be 3321/405 - 8/1. Let n(m) be the second derivative of 0*m**2 + 0*m**3 + 0 - 1/3*m**4 + b*m**5 - 11*m. Factor n(d).
4*d**2*(d - 1)
Let f(p) = p**3 + 2*p**2 + 8*p + 18. Let h be f(-3). Let z be h/(-60)*28/8. Determine t so that 5/2*t + 15/4*t**2 - 1 - 5/8*t**3 - z*t**4 = 0.
-2, -1, 2/7, 2
Suppose -63*q = -55*q + 16. Let a(p) = -29*p - 56. Let t be a(q). What is k in 2/3*k + 4/9*k**t + 0 - 2/9*k**3 = 0?
-1, 0, 3
Let t(h) = -h + 3. Let u(g) = -8*g - 23. Let a(x) = 4*t(x) - u(x). Let n be a(-8). Let -1/3*i**n - 1/3 + 1/3*i**2 + 1/3*i = 0. What is i?
-1, 1
Let g(f) be the second derivative of -f**6/150 - 13*f**5/300 - f**4/40 + 7*f**2/2 - 50*f + 1. Let h(t) be the first derivative of g(t). Factor h(a).
-a*(a + 3)*(4*a + 1)/5
Let n(d) = 32*d**2 + d + 5. Let p(k) = -59*k**2 - 867*k - 2650. Let o(b) = 2*n(b) + p(b). Factor o(l).
5*(l - 176)*(l + 3)
Let n(y) be the second derivative of -y**5/40 + 569*y**4/24 + 1141*y**3/12 + 571*y**2/4 - 983*y - 2. Determine m so that n(m) = 0.
-1, 571
Let p(m) be the first derivative of 53 + 0*m - 4/3*m**3 + 38*m**2. Factor p(a).
-4*a*(a - 19)
Let i(r) be the second derivative of 1145/6*r**3 + 95/2*r**2 + 32/3*r**6 + 385*r**4 + 0 + 316*r**5 + 17*r. Factor i(g).
5*(g + 19)*(4*g + 1)**3
Let -1/5*m**3 + 9/5*m**2 - 14/5*m - 24/5 = 0. What is m?
-1, 4, 6
Let o(y) be the third derivative of 165*y**2 - 95/12*y**4 + 0 - 5/2*y**3 + 13/12*y**5 + 0*y. Find t, given that o(t) = 0.
-1/13, 3
Factor 192/5*f + 0 + 474/5*f**2 - 3*f**3.
-3*f*(f - 32)*(5*f + 2)/5
Let y = 248216 + -248212. Factor 0 - 6*o - 2/3*o**3 - y*o**2.
-2*o*(o + 3)**2/3
Let 