(g + 1)*(g + 2)
Let t = -6/5 - -39/20. Let r(f) be the second derivative of -3/2*f**3 - 3/20*f**5 + 6*f + 0 - t*f**4 - 3/2*f**2. Suppose r(p) = 0. Calculate p.
-1
Let c(d) = 4*d - 5. Let i be c(-6). Let t = 32 + i. Factor -3 + 4*m - 3*m**3 + 5*m - 3 + 0*m**t.
-3*(m - 1)**2*(m + 2)
Let h(f) be the first derivative of f**6/39 + 2*f**5/65 - 7*f**4/26 - 2*f**3/3 - 6*f**2/13 - 35. Find x such that h(x) = 0.
-2, -1, 0, 3
Find q such that -86/17*q**3 - 120/17*q**2 - 24/17*q**4 - 56/17*q - 2/17*q**5 + 0 = 0.
-7, -2, -1, 0
Let f be (230/(-805))/((-10)/322). Let f*v**3 - 10*v**2 + 12/5 + 2/5*v - 2*v**4 = 0. What is v?
-2/5, 1, 3
Determine o, given that 0 - 20*o**2 + 0 - 32*o + 2*o**4 - 17559*o**3 + 17573*o**3 = 0.
-8, -1, 0, 2
Let m = 2555 - 5105/2. Suppose -m*j**4 + 0 - 5/4*j**5 + 0*j + 5/4*j**3 + 5/2*j**2 = 0. What is j?
-2, -1, 0, 1
Let t(x) be the first derivative of x**4 + 44*x**3/3 - 50*x**2 + 52*x - 83. Factor t(d).
4*(d - 1)**2*(d + 13)
Let n be 0/(4*(-2 + 11/4)). Suppose -2/7*b**5 - 8/7*b**3 - 8/7*b**4 + 0*b + n + 0*b**2 = 0. What is b?
-2, 0
Let x = 52673/65 - 4051/5. Determine w so that -x*w**3 + 10/13*w**2 + 6/13 - 14/13*w = 0.
1, 3
Let x(h) be the second derivative of h**6/120 - h**5/40 - 7*h**3/2 + 2*h. Let k(s) be the second derivative of x(s). Factor k(z).
3*z*(z - 1)
Solve -21*g**2 + 33*g**2 - 8*g**2 + 44*g - 2*g**2 + 242 = 0 for g.
-11
Factor a + 4*a - 17*a**5 - 10*a**3 + 22*a**5.
5*a*(a - 1)**2*(a + 1)**2
Determine a so that 3/8*a**3 - 99/8*a - 45/8*a**2 - 51/8 = 0.
-1, 17
Let c be 6/40 + 1/4. Let q be (((-32)/24)/4)/(40/(-24)). Suppose 0 + c*i**4 - q*i - 2/5*i**2 + 0*i**3 + 1/5*i**5 = 0. Calculate i.
-1, 0, 1
Solve 89/7*j + 88/7 + 1/7*j**2 = 0 for j.
-88, -1
Factor -2*l**4 + 6*l**4 + 313*l**2 - 317*l**2.
4*l**2*(l - 1)*(l + 1)
Factor 138*d - 483 + 3*d**2 - 250*d + 111 + 292*d + 0*d**2.
3*(d - 2)*(d + 62)
Let j(a) be the third derivative of -a**5/30 + 5*a**4/24 - 4*a**3/3 - 129*a**2. Let q(n) = -n**2 - 3 - n - 1 + 3*n. Let t(c) = -6*j(c) + 13*q(c). Factor t(b).
-(b + 2)**2
Let j(y) = 3*y**3 - 155*y**2 - 3755*y - 31250. Let l(c) = 10*c**3 - 466*c**2 - 11266*c - 93750. Let r(a) = 16*j(a) - 5*l(a). Let r(h) = 0. Calculate h.
-25
Let q(g) be the second derivative of -3/2*g**2 - g**3 + 0 - 1/4*g**4 - 23*g. Factor q(y).
-3*(y + 1)**2
Let f(i) be the second derivative of -i**6/6 - 3*i**5/4 + 25*i**4/4 - 85*i**3/6 + 15*i**2 - 4*i + 2. Determine u so that f(u) = 0.
-6, 1
Let r = 3/856 - -419/2568. Find b, given that 0 - r*b**4 - 7/3*b**3 + 1/2*b**5 + 2/3*b**2 + 4/3*b = 0.
-2, -2/3, 0, 1, 2
Let x be (62/6)/(3/(-18)) + -2. Let t = 66 + x. Solve 0 - 2/9*k**4 + 0*k**t + 2/9*k**5 + 0*k + 0*k**3 = 0 for k.
0, 1
Let n(w) be the first derivative of w**5/35 - 9*w**4/28 + 23*w**3/21 - 3*w**2/14 - 36*w/7 - 28. Suppose n(j) = 0. Calculate j.
-1, 3, 4
Let f be -1 - ((-36)/16 + 1). Let a(t) be the second derivative of -f*t**4 + t**3 + 0 + t - 3/2*t**2. Find j, given that a(j) = 0.
1
Let p(l) = -15*l**4 - 90*l**3 - 148*l**2 - 107*l - 17. Let y(g) = -5*g**4 - 30*g**3 - 49*g**2 - 36*g - 6. Let b(s) = -6*p(s) + 17*y(s). Factor b(d).
5*d*(d + 1)*(d + 2)*(d + 3)
Let a(b) be the first derivative of b**6/3 - 74*b**5/5 + 240*b**4 - 4400*b**3/3 - 2000*b**2 + 60000*b - 346. Determine g so that a(g) = 0.
-3, 10
Let t(z) = -4*z - 20. Let k be t(-6). Let d be k/3*(-108)/(-24). Factor -6 + 8*x**2 - 3*x + 13*x**2 - 3*x**2 + 21*x**3 + d*x**4.
3*(x + 1)**2*(x + 2)*(2*x - 1)
Let j(x) be the second derivative of -3*x**5/100 + 187*x**4/60 + 21*x**3/5 + 3*x - 88. Find h such that j(h) = 0.
-2/3, 0, 63
Let r(y) = y**2 + 16*y + 147. Let k be r(0). Let f = k + -144. Factor -2/5*a**4 + 2/5 - 4/5*a**f + 0*a**2 + 4/5*a.
-2*(a - 1)*(a + 1)**3/5
Let z(r) be the second derivative of r**5/50 - r**4/15 - 29*r**3/15 - 42*r**2/5 - 188*r. Determine o, given that z(o) = 0.
-3, -2, 7
Factor 1/12*b**4 + 0*b**2 - 1/12*b**3 + 0 + 0*b.
b**3*(b - 1)/12
Solve -799*h**2 - 2*h**4 + 11*h**3 - 39*h**3 + 4*h**5 + 837*h**2 - 12*h = 0 for h.
-3, 0, 1/2, 1, 2
Suppose 3*f + 1 = 7. Let w be 48/14 - 4/(-7). Factor 2*q**3 - q**2 - q**2 + 2*q**w + 4*q**f + 2*q**3.
2*q**2*(q + 1)**2
Let d(g) be the third derivative of -g**7/105 + g**6/15 - g**5/10 - g**4/3 + 4*g**3/3 + 2*g**2 + 98*g. Let d(l) = 0. What is l?
-1, 1, 2
Let p(d) = d**3 - 2*d**2 + d. Let w(f) = 5*f**3 - 25*f**2 - 26*f - 20. Let x(s) = 6*p(s) - w(s). Factor x(v).
(v + 1)*(v + 2)*(v + 10)
Let s(h) = -15*h**2 - 1264*h - 49942. Let a(o) = 7*o**2 + 632*o + 24970. Let g(w) = 7*a(w) + 3*s(w). Solve g(i) = 0 for i.
-79
Let a(d) be the first derivative of d**6/3 + 72*d**5/5 - 75*d**4/2 + 76*d**3/3 + 390. Factor a(u).
2*u**2*(u - 1)**2*(u + 38)
Let m be (4/(-18))/((-1)/3). Let q(o) = -o**2 + 4*o - 1. Let k be q(2). Find g such that -5/3*g - 4/3*g**4 + 4/3*g**k + 1/3*g**5 + m + 2/3*g**2 = 0.
-1, 1, 2
Let x(p) = 4*p**2 + 54*p - 6. Let a(s) = 6*s**2 + 110*s - 10. Let f(n) = -3*a(n) + 5*x(n). Determine b, given that f(b) = 0.
0, 30
Suppose -81*k - 3*z = -82*k - 15, -3*k + 3*z = 15. Suppose -1/4*h**4 + 1/8*h + 1/4*h**2 - 1/8*h**5 + 0 + k*h**3 = 0. Calculate h.
-1, 0, 1
Factor -441/2 - 1/2*o**2 + 21*o.
-(o - 21)**2/2
Let p = -206 - -210. Let n be (p/6)/((-84)/(-63)). Let 0*b - n*b**3 + 0 + 1/2*b**5 - 1/2*b**4 + 1/2*b**2 = 0. Calculate b.
-1, 0, 1
Let p(j) = -j**4 + 10*j**3 - 84*j**2 + 200*j - 119. Let s(q) = -2*q**4 + 21*q**3 - 169*q**2 + 400*q - 239. Let o(w) = 11*p(w) - 6*s(w). Factor o(x).
(x - 5)**3*(x - 1)
Suppose 16*z**3 - 51*z**3 + 5*z**5 - 21*z**3 - 25*z**4 - 14*z**3 = 0. Calculate z.
-2, 0, 7
Let h(x) be the third derivative of x**8/26880 + x**7/2520 - 17*x**4/12 - 4*x**2. Let s(t) be the second derivative of h(t). Determine r, given that s(r) = 0.
-4, 0
Let n(o) = o**2 - o - 1. Let p(x) = -3*x**3 - 44*x**2 + 5*x + 5. Let v(k) = -5*n(k) - p(k). Factor v(r).
3*r**2*(r + 13)
Find v, given that 1/2*v**2 - 4*v - 9/2 = 0.
-1, 9
Factor 0 - 1/7*i**5 - 9*i**3 + 0*i + 81/7*i**2 - 17/7*i**4.
-i**2*(i - 1)*(i + 9)**2/7
Let f(j) be the first derivative of -j**6/1080 - j**5/120 + 4*j**3 - 5. Let d(c) be the third derivative of f(c). Let d(a) = 0. What is a?
-3, 0
Let -1/5*u**5 + 0*u**2 + 0 + 0*u**3 + 0*u - 2/5*u**4 = 0. What is u?
-2, 0
Factor -14*y - 7*y - 13*y - 14*y + 2*y**2 + 46.
2*(y - 23)*(y - 1)
Let b be (-14)/(-18) - (-4)/18. Let 14*x + b + 2*x**2 - 6*x + 1 + 6 = 0. What is x?
-2
Let h(p) be the first derivative of p**5/5 + p**4/2 - 4*p**3/3 - 4*p**2 - 62. Factor h(b).
b*(b - 2)*(b + 2)**2
Let d(m) be the second derivative of 0 - 3/40*m**6 + 0*m**3 + 0*m**2 + 1/84*m**7 - 15*m - 1/12*m**4 + 3/20*m**5. Solve d(a) = 0 for a.
0, 1/2, 2
Solve -36*m - 4*m**5 + 118 + 18*m**4 - 59 + 14*m**4 - 88*m**3 - 59 + 96*m**2 = 0 for m.
0, 1, 3
Let o(q) be the second derivative of -q**5/10 + q**4 - 11*q**3/3 + 6*q**2 + 49*q - 1. Factor o(w).
-2*(w - 3)*(w - 2)*(w - 1)
Suppose 9*d - 427 = -409. Let n(b) be the third derivative of 4*b**2 + 0*b + 13/20*b**5 + 2*b**3 - 3/40*b**6 + 0 - d*b**4. Find c, given that n(c) = 0.
1/3, 2
Let s(i) be the second derivative of -i**7/1120 - i**6/1440 + 5*i**4/12 + 12*i. Let b(u) be the third derivative of s(u). Factor b(m).
-m*(9*m + 2)/4
Let u(i) be the second derivative of i + 10/3*i**3 - 2/3*i**4 + 4*i**2 - i**5 + 0. Factor u(z).
-4*(z - 1)*(z + 1)*(5*z + 2)
Suppose 2*j - 13 = -3*p, 4*j - 5 = 2*p - 3. Find c, given that 270*c**2 - 68*c**3 + 32*c**5 - 64*c**4 - 246*c**j - 4*c**5 = 0.
-1, 0, 2/7, 3
What is q in -98*q**4 + 60*q + 72*q**2 - 195*q**3 - 7*q**4 - 318*q**3 = 0?
-5, -2/7, 0, 2/5
Let l = 7 - 8. Let a(b) = 4*b + 0*b**4 - 4*b**3 - 3 + 9 - 2*b**4 - 4*b**2. Let r(u) = -u**3 - u**2 + u + 1. Let s(n) = l*a(n) + 6*r(n). Factor s(f).
2*f*(f - 1)**2*(f + 1)
Let t be ((-48)/6)/(2 - (-34)/(-22)). Let w = -151/10 - t. Determine q, given that w*q**5 - 5/2*q**3 + 10 - 35/2*q**2 + 0*q + 15/2*q**4 = 0.
-2, -1, 1
Suppose 51/2*j + 45/4*j**2 + 27/4*j**4 + 3/4*j**5 - 18 - 105/4*j**3 = 0. What is j?
-12, -1, 1, 2
Let r(n) be the third derivative of 0*n + 1/30*n**5 + 2/3*n**3 + 0 + 1/4*n**4 - 19*n**2. Let r(t) = 0. Calculate t.
-2, -1
Suppose 0 - 8/5*g + 0*g**2 + 2/5*g**3 = 0. What is g?
-2, 0, 2
Let t(y) be the first derivative of -45*y + 15*y**2 + 15 - 5/3*y**3. Factor t(v).
-5*(v - 3)**2
Let 49*m + 56*m**2 + 1199*m - 1352 - 36*m**2 + 2*m**3 + 66*m**2 + 