(d - 116)*(d + 2)/9
Factor 3/5*n**4 - 189/5*n - 243/5*n**2 + 0 - 51/5*n**3.
3*n*(n - 21)*(n + 1)*(n + 3)/5
Suppose -64 + 14/3*z**5 + 10/3*z**4 + 392/3*z**2 + 592/3*z - 132*z**3 = 0. Calculate z.
-6, -1, 2/7, 2, 4
Let i(n) = -970 + 970 - n. Suppose 1 + 2 = o. Let g(t) = -2*t**2 + t - 2. Let d(l) = o*i(l) - g(l). Factor d(x).
2*(x - 1)**2
Suppose -24 + 49 = 6*x + 13. Let s(a) be the second derivative of 3*a**3 + 2*a**x + 11*a + 1/20*a**6 + 0 + 19/40*a**5 + 7/4*a**4. Factor s(p).
(p + 2)**3*(3*p + 1)/2
Suppose -2*v = 9 + 75. Let p be ((-1)/2)/((49/v)/7). Solve 4/13*w**2 + 0 + 2/13*w**p + 2/13*w = 0 for w.
-1, 0
Factor -996*m**3 + 11*m**5 - 7*m**5 + 373801*m**2 - 492*m**4 - 374301*m**2.
4*m**2*(m - 125)*(m + 1)**2
Let o(c) be the first derivative of -c**9/3024 + c**8/840 - c**6/180 + c**5/120 + 22*c**3 - 62. Let z(s) be the third derivative of o(s). Factor z(y).
-y*(y - 1)**3*(y + 1)
Let d be ((-48)/9)/(6/(-9)). Suppose -n = -d + 4. Factor -88/5*p**2 - 4/5*p**n - 36/5 - 96/5*p - 32/5*p**3.
-4*(p + 1)**2*(p + 3)**2/5
Let f(x) be the first derivative of x**7/2940 - 2*x**6/315 + 8*x**3/3 - 6*x**2 + 89. Let m(u) be the third derivative of f(u). Factor m(c).
2*c**2*(c - 8)/7
Let g(t) be the third derivative of -t**5/300 + 2213*t**4/60 - 4897369*t**3/30 + 10523*t**2. Suppose g(s) = 0. What is s?
2213
Let g(i) be the first derivative of -1/6*i**4 + 208/3*i + 44/9*i**3 + 100/3*i**2 - 181. Find a such that g(a) = 0.
-2, 26
Let h(z) be the first derivative of z**6/40 - 3*z**5/20 + z**4/4 + 21*z**2/2 - z + 33. Let x(a) be the second derivative of h(a). Suppose x(l) = 0. What is l?
0, 1, 2
Let n(m) = -m**2 - 147*m - 216. Let v(w) = 2*w - 33. Let h(o) = n(o) - 2*v(o). Let h(t) = 0. What is t?
-150, -1
Let l(c) be the first derivative of -5*c**6/6 - 104*c**5 - 255*c**4/2 + 520*c**3/3 + 515*c**2/2 + 3639. Find t, given that l(t) = 0.
-103, -1, 0, 1
Let n be (-120)/(-63) + ((-42)/3 - (-79624)/5649). Let 0*g**4 - 2 - 3/2*g + 13/8*g**3 - 1/8*g**5 + n*g**2 = 0. Calculate g.
-2, -1, 1, 4
Let k(t) be the third derivative of 3*t**7/350 - 11*t**6/100 + 3*t**5/100 + 7*t**4/10 - t**2 - 37*t + 5. Determine w so that k(w) = 0.
-1, 0, 4/3, 7
Let d be 1 - (14 + -12) - (2614/(-80) + (-44)/220). Factor 3/8*p**3 - 6*p**2 + d*p - 225/4.
3*(p - 6)*(p - 5)**2/8
Suppose l - 5*o + 14 = 0, 7*l = 12*l + 3*o - 42. Solve 2*d**3 - 10*d**2 + d**4 + 6*d - d**2 + 6*d**2 - l*d - 6*d = 0.
-3, -1, 0, 2
Let u(o) be the second derivative of -o**6/15 + 6*o**5 + 64*o**4 + 784*o**3/3 + 528*o**2 - 7036*o. Determine f so that u(f) = 0.
-2, 66
Let l = -32 + 22. Let p(i) = -i**3 - 10*i**2 + 3. Let b be p(l). Find x, given that -20*x**b + 14*x**5 - 24*x**4 + 15*x**5 - 5*x**5 + 8*x**2 + 12*x**5 = 0.
-2/3, 0, 1/3, 1
Factor 0*c + 64/7 - 4/7*c**2.
-4*(c - 4)*(c + 4)/7
Let s(p) = -388*p + 5820. Let f be s(15). Let q(n) be the first derivative of f*n**2 + n**3 - 3/8*n**4 - 3/10*n**5 + 0*n + 19. Factor q(m).
-3*m**2*(m - 1)*(m + 2)/2
Let h = 3065233/1730928 - 1/36061. Let o(j) be the second derivative of -3/4*j**2 - 7*j + 0 - 7/20*j**5 - 1/24*j**3 + h*j**4. Factor o(q).
-(q - 3)*(4*q + 1)*(7*q - 2)/4
Determine x so that 36 - 1/5*x**3 - 62/5*x**2 - 117/5*x = 0.
-60, -3, 1
Let k(u) = -u**4 - u**3 - u**2 + u. Let f(z) = -4*z**4 + 36*z**3 + 38*z**2 - 36*z - 40. Let j(p) = f(p) - 3*k(p). Factor j(n).
-(n - 40)*(n - 1)*(n + 1)**2
Let j(x) be the third derivative of 0*x**6 + 0*x**4 - 11*x + 3*x**2 + 0*x**5 - 1/490*x**7 + 0*x**3 + 0. Factor j(w).
-3*w**4/7
Let l(z) = -3*z**4 + 4*z**3 + 5*z**2 + 8*z - 2. Let u(c) = 8*c**4 - 7*c**3 - 8*c**2 - 18*c + 5. Let q(w) = -5*l(w) - 2*u(w). Solve q(o) = 0.
-4, -1, 0
Let t(z) be the third derivative of -z**6/1140 + 356*z**5/285 - 237*z**4/76 + z**2 + 2191. What is u in t(u) = 0?
0, 1, 711
Let 0 - 13/6*x + 1/6*x**2 = 0. Calculate x.
0, 13
Factor 1/7*n**2 + 4/7 - 5/7*n.
(n - 4)*(n - 1)/7
Let a(t) be the first derivative of t**4/4 - 7*t**3/3 - 7*t**2 + 48*t - 958. Factor a(j).
(j - 8)*(j - 2)*(j + 3)
Let f = -615 + 83026/135. Let r(d) be the second derivative of -f*d**6 + 0*d**2 + 1/90*d**5 + 0*d**3 + 1/54*d**4 - 1/189*d**7 - 3*d + 0. Factor r(c).
-2*c**2*(c - 1)*(c + 1)**2/9
Suppose l + 4*c - 11 = -1, -3*l - 2*c + 30 = 0. Factor 0*m**2 + m**2 - 5*m + m**2 + 8*m**2 + 5*m**3 - l*m**4.
-5*m*(m - 1)*(m + 1)*(2*m - 1)
Factor -11*w**2 - 36*w + 22 + 19 - 61 - 8*w**2 + 24.
-(w + 2)*(19*w - 2)
Let b(l) = l**3 + 6*l**2 + l - 16. Let r be b(-5). Suppose 5*j - 185 = 5*c, 2*c + 25 = j + r*c. Factor -8*z**4 + 68*z**2 + j*z**3 - 11*z**3 + 8*z - 30*z**2.
-2*z*(z - 4)*(z + 1)*(4*z + 1)
Let o be (0 + 2/20)/(-3*(-174)/3915). Let m = 116 - 461/4. Factor 0 - m*b**2 - o*b**3 + 0*b.
-3*b**2*(b + 1)/4
Let x = 423/160 - 23/10. Let s = x + 1/32. What is q in s*q**2 - 3/8*q**3 - 3/8 + 3/8*q = 0?
-1, 1
Let r(t) be the third derivative of t**8/84 + 2*t**7/35 - 7*t**6/5 + 98*t**5/15 - 29*t**4/2 + 18*t**3 - 1461*t**2 - 1. Factor r(h).
4*(h - 3)*(h - 1)**3*(h + 9)
Let q = -11746 - -11748. Let c(x) be the second derivative of 0*x**3 - 1/3*x**q - 31*x + 0 + 1/18*x**4. Factor c(j).
2*(j - 1)*(j + 1)/3
Suppose 21/5*z**3 - 9/5*z**4 - 297/5*z + 0 + 117/5*z**2 = 0. What is z?
-11/3, 0, 3
What is t in 527/2*t**2 + 1/2*t**3 - 794*t + 530 = 0?
-530, 1, 2
Let h(y) be the first derivative of 8/3*y - y**4 - 4*y**2 + 2/15*y**5 + 26/9*y**3 - 86. Suppose h(f) = 0. Calculate f.
1, 2
Let h(k) = 16*k**2 - 3*k - 1. Let a(q) = -37*q**2 - 20104*q - 20220603. Let t(p) = -a(p) - 2*h(p). Factor t(b).
5*(b + 2011)**2
Let v(g) be the second derivative of g**5/20 + 29*g**4/20 - 12*g**3/5 - 6*g**2 + 6*g - 2. Let f(b) be the first derivative of v(b). Factor f(a).
3*(a + 12)*(5*a - 2)/5
Factor -308*o**3 - 1097 + 173*o**3 - 5*o**4 + 1247 + 435*o**2 - 445*o.
-5*(o - 1)**3*(o + 30)
Let 128/3*s**2 + 1120/3*s + 2450/3 = 0. What is s?
-35/8
Let j(o) = -2*o**3 - 16*o**2 - 58*o + 196. Let n(i) = -i**2 + 2*i. Let d(w) = -j(w) - 8*n(w). Suppose d(u) = 0. What is u?
-7, 2
Let r(m) be the third derivative of -m**8/168 + m**7/35 + 23*m**6/60 - 9*m**5/10 - 11*m**4/6 + 8*m**3 + 1486*m**2. Let r(a) = 0. What is a?
-4, -1, 1, 6
Let y(u) be the first derivative of -2*u**3 - 3069*u**2/2 - 1533*u - 2146. Factor y(i).
-3*(i + 511)*(2*i + 1)
Determine v so that 0 - 2/3*v**4 - 90*v**2 + 16*v**3 + 224/3*v = 0.
0, 1, 7, 16
Let v(f) be the first derivative of f**7/2100 + f**6/90 + 17*f**5/300 + 2*f**4/15 - 4*f**3/3 - 179. Let n(h) be the third derivative of v(h). Factor n(b).
2*(b + 1)**2*(b + 8)/5
Suppose 0 = -2*u - 12 + 32, 0 = -3*b + u - 10. Factor 1/2*a**2 + b - a.
a*(a - 2)/2
Factor 10201 + f**3 + 1905*f - 6*f**3 - 8661 + 360*f**2.
-5*(f - 77)*(f + 1)*(f + 4)
Suppose 48*w = -0*w + 336. Suppose -2*t + w*h - 2*h = 4, h = 2. What is n in 4/3*n**2 + 2/3 - 5/3*n - 1/3*n**t = 0?
1, 2
Let n be (-940)/(-70) - (-30)/(-21). Let k be 4/6*(-1 - n/(-9)). Determine f so that 2/9*f**3 + 0 - k*f + 2/9*f**2 - 2/9*f**4 = 0.
-1, 0, 1
Let o(p) = 6*p + 41. Let u be o(-6). Factor u*q**3 - 515*q**2 + 520*q**2 + 0*q**3.
5*q**2*(q + 1)
Suppose 505*r**3 - 500*r - 5*r**5 + 76*r**4 + 533 - 31*r**4 + 915*r**2 - 1493 = 0. Calculate r.
-4, -3, -1, 1, 16
Let r(x) be the third derivative of 0*x + 21 + 648*x**3 - 9*x**4 - 2*x**2 + 1/20*x**5. Factor r(g).
3*(g - 36)**2
Let b = -6540 + 6546. Let s(r) be the second derivative of 1/75*r**b + 0*r**2 + 0 + 1/25*r**5 + 13*r + 1/30*r**4 + 0*r**3. Factor s(v).
2*v**2*(v + 1)**2/5
Let b(r) = 140 - r - 281 + 142 + 3*r + r**2 - 3*r. Let v(m) = 12*m**2 - 17*m + 16. Let c(i) = 22*b(i) - 2*v(i). Factor c(p).
-2*(p - 5)*(p - 1)
Let a(b) be the third derivative of b**7/525 - 4*b**6/75 - 11*b**5/30 - 19*b**4/30 - 3*b**2 + 84. Factor a(o).
2*o*(o - 19)*(o + 1)*(o + 2)/5
Let o(j) = 36*j**2 - 2564*j - 2530. Let b(d) = 11*d**2 - 855*d - 845. Let a(s) = -20*b(s) + 6*o(s). Factor a(g).
-4*(g - 430)*(g + 1)
Let c(d) be the third derivative of -d**5/300 + 205*d**4/24 - 341*d**3/5 - 2*d**2 + 2604. Determine i so that c(i) = 0.
2, 1023
Let d = -71 + 76. Let q = -16 - -41. Factor -10 + q*b**2 + 7 - 55*b + 8 + d.
5*(b - 2)*(5*b - 1)
Let s(u) be the first derivative of 20*u**3/3 - 72*u**2 - 368*u + 1328. Factor s(v).
4*(v + 2)*(5*v - 46)
Let o(i) be the third derivative of i**6/240 - i**5/40 - 11*i**4/24 + 2*i**3 - 5287*i**2. Factor o(q).
(q - 6)*(q - 1)*(q + 4)/2
Let k(h) b