d(r) be the second derivative of x(r). Factor d(v).
-4*(v - 1)*(3*v - 1)*(4*v + 1)
Solve 2*c**3 - 2*c**2 + c**4 - 341*c + c**4 + 339*c = 0.
-1, 0, 1
Let d(q) be the third derivative of 5/21*q**4 + 4/21*q**3 + 0*q + 5/42*q**5 + 0 + 11*q**2. Suppose d(a) = 0. What is a?
-2/5
Let k be ((-2)/12 + 0)/(351/243). Let r = k - -8/13. Find n such that r*n**2 + 1/2 + n**3 - n**4 + 1/4*n**5 - 5/4*n = 0.
-1, 1, 2
Let q = 77485/3 - 25827. Solve -8/9*n**3 - 2/9 - 8/9*n - 2/9*n**4 - q*n**2 = 0 for n.
-1
Let d(q) be the third derivative of q**6/120 + q**5/4 + 25*q**4/8 - 11*q**3/2 + 29*q**2. Let g(v) be the first derivative of d(v). What is h in g(h) = 0?
-5
Factor 3/2*q + 1/4*q**3 + 0 - 7/4*q**2.
q*(q - 6)*(q - 1)/4
Let h be (-64)/(-480)*-2*2/(-8). Let d(p) be the second derivative of 0*p**5 - 6*p + 0 + 0*p**3 - h*p**6 + 1/6*p**4 + 0*p**2. Let d(v) = 0. What is v?
-1, 0, 1
Suppose 9*j = -15 + 6. Let y be j*(-4)/(-16)*0. Factor -1/2*l**3 + 1/2*l**4 + 0 + y*l**2 + 0*l.
l**3*(l - 1)/2
Suppose -n + 5*b = -0*n + 14, -2*n - 8 = -5*b. Factor -18*c - n*c**2 - 17 + 1 + 4*c**2.
-2*(c + 1)*(c + 8)
Let m = 351 + -351. Let l(r) be the first derivative of 1/20*r**5 + 0*r**2 - 1/8*r**4 + 1 + 1/12*r**3 + m*r. Factor l(t).
t**2*(t - 1)**2/4
Let v(i) be the third derivative of -i**5/15 - 91*i**4/6 + 396*i**2. Suppose v(r) = 0. What is r?
-91, 0
Let i = 34 - 26. Factor 0*q**2 + 3 - q + i*q + 3*q**2 - q.
3*(q + 1)**2
Factor 0*u + 2/7*u**4 + 0 + 0*u**2 - 4/7*u**3.
2*u**3*(u - 2)/7
Let t(v) be the second derivative of -4*v + 1/8*v**2 - 1/120*v**6 + 0 - 1/12*v**3 + 0*v**4 + 1/40*v**5. Factor t(p).
-(p - 1)**3*(p + 1)/4
Let q be -112 + 98 + (-596)/(-40). What is b in q*b**3 + 24/5*b**2 + 8/5 + 26/5*b = 0?
-4, -2/3
Let n = -93 + 107. Suppose -36 - 3*h**3 + n*h + 48 + h**3 = 0. Calculate h.
-2, -1, 3
Let 2*g + 3*g - 5*g + 2*g**5 - 808*g**4 + 810*g**4 = 0. What is g?
-1, 0
Let h(n) = 24*n + 135. Let i be h(-6). Let t be i/24 + 0 - (-1656)/1344. Factor -t - 33/7*z - 39/7*z**2 - 12/7*z**3.
-3*(z + 1)*(z + 2)*(4*z + 1)/7
Suppose -k - 53 = 4*u, -87 = 5*u + 2*k - 20. Let m be (-2)/(4 + 5 + u). Let -m*w + 1/2*w**2 + 0 = 0. Calculate w.
0, 1
Suppose 4*q - 3 - 5 = 2*z, 3*z + q = 16. Let c(v) = v**3 - 3*v**2 + 2*v - 4. Let l be c(3). Factor 2*y**l - y + y + z*y.
2*y*(y + 2)
Let n(t) be the first derivative of 2*t**7/315 - t**6/360 + 5*t**2 - 7. Let q(k) be the second derivative of n(k). Factor q(s).
s**3*(4*s - 1)/3
Find g, given that -11*g**4 + 19*g**3 + g**4 + 4*g**4 + 28*g**2 - 5*g**3 - 48*g = 0.
-2, 0, 4/3, 3
Let w(i) be the third derivative of 29*i**2 - 1/200*i**6 + 4/5*i**3 + 3/50*i**5 + 0 + 0*i - 3/10*i**4. Factor w(q).
-3*(q - 2)**3/5
Let k(q) be the first derivative of -3*q**5/5 + 35*q**4/4 - 44*q**3 + 72*q**2 + 64*q - 38. What is a in k(a) = 0?
-1/3, 4
Factor -13*d**4 + 1509*d**3 - 460*d**2 + 111*d**3 - 25*d**4 + 3*d**4.
-5*d**2*(d - 46)*(7*d - 2)
Let z(y) = -120*y**2 - 475*y + 545. Let o(c) = 29*c**2 + 119*c - 136. Let q(w) = -25*o(w) - 6*z(w). Suppose q(p) = 0. Calculate p.
-26, 1
Let h(b) = b**3 - b**2. Suppose 7 = -f + 2*r - 5*r, r = -2. Let t(c) = 4*c**2 - 2*c**3 + 3*c**4 - 3*c**2 - 4*c**4. Let y(l) = f*t(l) - h(l). Factor y(a).
a**3*(a + 1)
Suppose 0 = 25*r - 27*r - 4*w + 8, 4*r = w + 7. Factor r - 1/2*a**2 + 0*a.
-(a - 2)*(a + 2)/2
Let i(a) be the third derivative of -1/360*a**6 - 1/9*a**3 + 0 + 0*a + 1/24*a**4 - 17*a**2 + 0*a**5. Solve i(v) = 0 for v.
-2, 1
Let s(g) be the second derivative of 5/42*g**7 + 5/6*g**3 + 0*g**2 + 0*g**4 - 1/2*g**5 + 27*g + 0 + 0*g**6. Determine p, given that s(p) = 0.
-1, 0, 1
Let u(x) be the first derivative of x**4/8 - 7*x**3 + 441*x**2/4 - 177. Factor u(h).
h*(h - 21)**2/2
Let q(t) be the first derivative of t**5/80 + t**4/32 + 2*t**2 + 20. Let r(j) be the second derivative of q(j). Solve r(y) = 0 for y.
-1, 0
Let l(r) be the third derivative of r**9/40320 - r**8/13440 - r**7/1680 - 7*r**5/20 + r**2. Let h(v) be the third derivative of l(v). Factor h(k).
3*k*(k - 2)*(k + 1)/2
Let l(k) be the first derivative of -k**6/9 + 8*k**5/15 + k**4 - 8*k**3/9 - 5*k**2/3 + 31. Suppose l(o) = 0. What is o?
-1, 0, 1, 5
Let n be 7/(-1) - 180/(-24). Factor 1/2*k**4 - 1/2*k**2 + 0 - 1/2*k + n*k**3.
k*(k - 1)*(k + 1)**2/2
Let r(l) = l**2 - 4*l - 3. Let h be r(5). Factor j**h + 12*j**2 + 16*j - 5*j**2 - 6*j**2 + 32.
2*(j + 4)**2
Suppose -o + 0*o - 1 = -3*b, 0 = -3*b + 6. Solve -8*w**4 - 49*w + o*w - 12 - 133*w**2 + 73*w**2 - 36*w**3 = 0.
-3/2, -1
Let w(q) be the first derivative of q**6/27 - 14*q**5/45 + 19*q**4/18 - 50*q**3/27 + 16*q**2/9 - 8*q/9 + 36. Factor w(y).
2*(y - 2)**2*(y - 1)**3/9
Solve 2/5*y**4 - 12/5 - 22/5*y - 6/5*y**2 + 6/5*y**3 = 0.
-3, -1, 2
Let b(y) = y**2 + 8*y + 20. Let m be b(-10). Let o = -26 + m. Factor -12*h**2 + o*h**2 + 7*h - h.
2*h*(h + 3)
Let z(y) be the third derivative of -y**8/2688 - y**7/840 + y**6/480 + y**5/120 - y**4/192 - y**3/24 + 54*y**2 - y. Solve z(l) = 0 for l.
-2, -1, 1
Let g = -1/53 - 261/212. Let q = g + 53/36. Factor 0 + 2/9*z**2 + 2/9*z - 2/9*z**4 - q*z**3.
-2*z*(z - 1)*(z + 1)**2/9
Determine p, given that -223*p**3 + 205*p**3 + 16 - 78*p - 58*p**2 - 23 - 2*p**4 - 29 = 0.
-3, -2, -1
Let m be 2 - ((-1 - -1)/3)/2. Solve 4*h + 1793 - 2*h**m - 1793 = 0 for h.
0, 2
Let a(o) be the first derivative of 2*o**6/3 + 56*o**5/5 - 15*o**4 - 150. Solve a(w) = 0 for w.
-15, 0, 1
Suppose 2*r - 361 = -347. Let a(x) be the third derivative of 0*x**3 + 1/1155*x**7 - r*x**2 + 0 + 1/110*x**5 + 0*x - 1/132*x**4 - 1/220*x**6. Factor a(d).
2*d*(d - 1)**3/11
Suppose -526*u + 4*i = -522*u + 16, -4*i + 16 = -5*u. Determine g, given that u*g**2 - 2/7*g + 0 + 2/7*g**3 = 0.
-1, 0, 1
Let d be 14/(-16)*(-270)/105. Let f(l) be the first derivative of 0*l + 9/16*l**4 + 27/8*l**2 - 7 - 1/20*l**5 - d*l**3. What is z in f(z) = 0?
0, 3
Factor 9/8 + 0*z**3 - 3*z - 3/8*z**4 + 9/4*z**2.
-3*(z - 1)**3*(z + 3)/8
Determine v, given that 1/8*v**2 - 1/2 - 1/8*v**3 + 1/2*v = 0.
-2, 1, 2
Let k = -89 - -93. Factor 112*p + 160*p**3 + 128*p - 205*p**2 - 75*p**2 - 45*p**k + 5*p**5 - 80.
5*(p - 2)**4*(p - 1)
Let v(h) be the first derivative of -h**6/120 + h**5/240 - 18*h**2 + 27. Let g(i) be the second derivative of v(i). Let g(y) = 0. What is y?
0, 1/4
Let q be (3/12)/(1/2). Let w = 41566 - 41566. Factor q*d**2 - 1/2 + w*d.
(d - 1)*(d + 1)/2
Let f(o) be the first derivative of -10*o**6/3 + 48*o**5/5 - 4*o**4 - 40*o**3/3 + 18*o**2 - 8*o + 49. Solve f(x) = 0.
-1, 2/5, 1
Let q(i) be the second derivative of -1/21*i**7 + 11/15*i**6 + 28*i + 0 + 16*i**2 - 56/3*i**3 + 73/6*i**4 - 43/10*i**5. Factor q(b).
-2*(b - 4)**2*(b - 1)**3
Let f(d) = 3*d**5 - 6*d**4 - 9*d**3 + 7*d**2 + 7*d. Let j(k) = -k**2 - k. Let z(l) = -l + 5. Let x be z(6). Let g(o) = x*f(o) + 5*j(o). Solve g(p) = 0.
-1, 0, 2
Let u = 1067/60 - 71/4. Let j(x) be the second derivative of -8*x + 1/5*x**2 + u*x**3 + 0 - 1/60*x**4. Determine g, given that j(g) = 0.
-1, 2
Let x(t) be the second derivative of t**6/90 - 7*t**5/60 + 5*t**4/36 + 7*t**3/18 - t**2 - 97*t. Factor x(z).
(z - 6)*(z - 1)**2*(z + 1)/3
Let u(h) = h**2 - 6*h + 9. Let d be u(5). Let -176 - 20*f**2 + 176 + 5*f**4 + 12*f + d*f**3 - f**4 = 0. Calculate f.
-3, 0, 1
Let l(f) be the first derivative of -f**3/6 - 27*f**2/4 - 13*f + 711. Factor l(p).
-(p + 1)*(p + 26)/2
Determine y so that -41*y**2 - 6*y**3 + 84*y**2 - 40*y**2 + 3*y**4 = 0.
0, 1
Let p(v) be the first derivative of 2/5*v**3 - 4*v - 1/15*v**4 - 6 - 4/5*v**2. Let j(s) be the first derivative of p(s). Factor j(k).
-4*(k - 2)*(k - 1)/5
Suppose -2*o - 3*g - 2 = -0*g, 0 = 3*o + 5*g + 4. Solve 341*a**2 + 152*a**2 - 2160 - 80*a**3 + 5*a**4 - 98*a**2 - 35*a**o = 0.
-2, 6
Let q(j) be the second derivative of -17*j + 0*j**3 - 27/14*j**2 + 0 + 1/28*j**4. Let q(x) = 0. What is x?
-3, 3
Suppose 6*j + 2*k = 3*j + 7, 5*j - 3*k = 18. Let v be ((-20)/(-6) + -3)*1. Let -2/3*i**j + 4/3*i + i**2 - v*i**4 - 4/3 = 0. Calculate i.
-2, 1
Solve -22*s**2 - 4/3 + 70/3*s = 0 for s.
2/33, 1
Let a(d) = d**2 - 20*d - 8. Let i be a(20). Let k(x) = -2*x - 16. Let t be k(i). What is v in 3/5*v**3 - 3/5*v**4 - 1/5*v**2 + 0 + 1/5*v**5 + t*v = 0?
0, 1
Let y(c) be the first derivative of 9 - 1/180*c**6 + 0*c**2 + 1/24*c**4 - 1/18*c**3 + 0*c**5 - 10*c. Let r(l) be the first derivative of y(l). Solve r(s) = 0.
-2, 0, 1
Let n(k) 