z so that d(z) = 0.
-4
Let x(i) be the third derivative of -i**7/840 - 37*i**6/160 - 433*i**5/240 - 179*i**4/32 - 107*i**3/12 + 2907*i**2. Solve x(n) = 0.
-107, -2, -1
Let q = 31/12 - 1/12. Suppose -53273*r - 7175 = -54708*r. Suppose 15/2*y**4 - 10*y**3 - 5 + 45/4*y - 5/4*y**r - q*y**2 = 0. Calculate y.
-1, 1, 4
Let f(p) be the second derivative of 49*p + 13/30*p**3 - 7/5*p**2 + 1/60*p**4 - 1. Find c such that f(c) = 0.
-14, 1
Suppose 151*i - 159*i + 32 = 0. Determine x, given that 27*x**3 + 12*x**i + 16*x**3 - 40*x**3 + 2*x**2 - 3*x**5 - 14*x**2 = 0.
-1, 0, 1, 4
What is t in 87/4*t + 21 + 3/4*t**2 = 0?
-28, -1
Let v be (36/15)/3*(-60)/(-24). Factor 12*q**3 - 92*q**v + 33 - 13 + 60*q + 17*q**2 + 8*q**3.
5*(q - 2)**2*(4*q + 1)
Let p(g) be the first derivative of -3*g**4/4 + 61*g**3 + 189*g**2 + 2346. Determine r so that p(r) = 0.
-2, 0, 63
Solve -14251168/5*q + 2466*q**2 - 10690688/15 - 8/15*q**3 = 0 for q.
-1/4, 2312
Let o(g) = 31*g**2 - 4628*g + 4669. Let t(m) = 440*m**2 - 64785*m + 65365. Let u(k) = -85*o(k) + 6*t(k). Suppose u(j) = 0. What is j?
-935, 1
Let c = 437/2730 - -3/455. Let s(h) be the third derivative of 5*h**2 - 1/12*h**4 + 0 + 0*h + c*h**3 + 1/60*h**5. Factor s(o).
(o - 1)**2
Let g(y) = 17*y**4 - 534*y**3 - 15*y**2 + 1465*y - 951. Let z(u) = -8*u**4 + 264*u**3 + 8*u**2 - 732*u + 476. Let v(n) = -4*g(n) - 9*z(n). Factor v(a).
4*(a - 60)*(a - 1)**2*(a + 2)
Suppose -6*y + 1190 = -13*y. Let x be 9/1 - (-1326)/y. Solve 2/5*v**4 + 0*v**3 + 4/5*v - x*v**2 + 0 = 0 for v.
-2, 0, 1
Let o(i) be the third derivative of -i**5/150 + 29*i**4/60 - 28*i**3/15 + 100*i**2 - 3*i. Let o(s) = 0. Calculate s.
1, 28
Factor -1097 + 884 + 2*k**2 - 3782*k - 10*k**2 + 1159.
-2*(k + 473)*(4*k - 1)
Let p(k) be the first derivative of k**5/30 + 5*k**4/24 + k**3/2 - 67*k**2 + 184. Let b(y) be the second derivative of p(y). Suppose b(g) = 0. What is g?
-3/2, -1
Let p(y) be the first derivative of -1/6*y**4 - 162 + 5/3*y**3 + 20/3*y + 8*y**2. Let p(k) = 0. What is k?
-2, -1/2, 10
Let k(b) be the second derivative of -75*b + 0 - 1/18*b**4 - 8/9*b**3 - 5*b**2. Factor k(v).
-2*(v + 3)*(v + 5)/3
Let v = 351 - 353. Let y be -10*v/(12 + -4). Suppose 1/4*o**5 + y*o**2 + 0 + 3/2*o**4 + 3*o**3 + 3/4*o = 0. Calculate o.
-3, -1, 0
Let l(q) be the third derivative of -1/4*q**5 + q**2 - 25 + 0*q + 35/12*q**4 + 25/6*q**3. Let l(s) = 0. Calculate s.
-1/3, 5
Suppose -1040*a - 5*a**2 - 118458 + 0*a**2 + 64378 = 0. Calculate a.
-104
Let d(p) be the third derivative of p**6/720 + 11*p**5/60 + 85*p**4/12 - 578*p**3/9 - 218*p**2. Factor d(f).
(f - 2)*(f + 34)**2/6
Suppose 4*z + 79 = 5*j, -3*j - 4*z + 46 = -5*z. Suppose -4*s + j = 3. Factor 6*w**2 + w**3 + w**s - 4*w**3 - 4*w.
-2*w*(w - 2)*(w - 1)
Let n(t) = -6*t**3 + 21*t**2 + 39*t - 105. Let i(k) = 5*k**3 - 23*k**2 - 30*k + 106. Let x(p) = -3*i(p) - 2*n(p). Let x(o) = 0. Calculate o.
-2, 2, 9
Let g(r) be the second derivative of r**4/48 + 1781*r**3/24 - 891*r**2/4 - 11*r + 15. Solve g(m) = 0 for m.
-1782, 1
Suppose 7422*z - 7415*z = 0. Let r(p) be the third derivative of -p**2 + 0*p**3 + z - 1/50*p**5 - 1/300*p**6 + 0*p**4 + 0*p. Find i, given that r(i) = 0.
-3, 0
Let g(c) = 13*c**2 + 15148*c - 11445779. Let i(f) = 10*f**2 + 15145*f - 11445790. Let t(o) = 5*g(o) - 6*i(o). Solve t(v) = 0.
1513
Let o be (-48)/(-112)*(-9)/(-162). Let a(n) be the second derivative of 2*n**2 + 1/10*n**5 + 18*n - o*n**7 - 2/3*n**4 + 2/15*n**6 + 0 - 1/6*n**3. Factor a(y).
-(y - 4)*(y - 1)**2*(y + 1)**2
Let c(s) be the third derivative of -s**7/5880 + s**6/560 - s**5/140 + s**4/6 + s**3/2 - 19*s**2. Let w(j) be the second derivative of c(j). Solve w(t) = 0.
1, 2
Suppose -33/2*q - 3*q**4 + 33/2*q**3 + 12*q**2 - 9 = 0. What is q?
-1, -1/2, 1, 6
Let k(x) = 5*x**4 + 92*x**3 + 657*x**2 - 92*x - 670. Let i(m) = -m**4 - m**3 + 6*m**2 + m - 1. Let w(a) = 2*i(a) + k(a). Suppose w(s) = 0. Calculate s.
-16, -14, -1, 1
Let i(q) = 3*q**3 + q**2 + 2*q + 6. Let g be i(3). Let n = 105 - g. Determine m, given that -1577 + m**2 - n*m**2 - 10*m + 1565 = 0.
-3, -2
Let 0 + 1/2*u**2 - 15*u = 0. What is u?
0, 30
Let o(x) = -2*x**2 - 2502*x + 10045. Let v be o(4). Determine u, given that 0 - 1/2*u**v + 0*u**2 + 5/8*u**4 + 0*u - 1/8*u**3 = 0.
0, 1/4, 1
Let o = -19032/7 - -76135/28. Let d(v) be the first derivative of -1/8*v**4 + 1/12*v**3 + o*v**2 + 18 + 0*v - 1/20*v**5. Determine i, given that d(i) = 0.
-2, -1, 0, 1
Let s(o) = -135*o**3 - 102*o**2 + 171*o - 78. Let w(p) = 7*p**3 + p. Let h(b) = -s(b) - 18*w(b). Factor h(i).
3*(i - 1)*(i + 13)*(3*i - 2)
Suppose 2*o - 3*b - 11 - 58 = 0, -o - 5*b + 28 = 0. Let r be ((-8)/(-6))/((-1)/(-3)). Find v, given that 3*v**5 - 30*v**r + 2*v**3 - 2*v**5 + o*v**4 = 0.
-2, -1, 0
Let r(c) be the first derivative of 34*c**6/21 - 484*c**5/35 - 139*c**4/7 + 548*c**3/21 + 244*c**2/7 - 64*c/7 - 202. Suppose r(s) = 0. What is s?
-1, 2/17, 1, 8
Let k be 16/(-104) + (-24)/(-156). Solve 0 + 1/2*g + 1/4*g**4 - 3/4*g**2 + k*g**3 = 0 for g.
-2, 0, 1
Suppose 15*q = 4 + 26. Suppose 54*t**3 - 13*t**q - 11*t**2 + 12*t + 8 - 24*t**2 - 26*t = 0. Calculate t.
-4/9, 1/3, 1
Suppose -6*p + 19*p + 475 = 501. Let t(c) be the second derivative of 2/9*c**p - 1/27*c**3 + 0 + 35*c - 1/54*c**4. Factor t(y).
-2*(y - 1)*(y + 2)/9
Let o(j) be the third derivative of j**5/12 - 5*j**4/4 - 45*j**3/2 - 2082*j**2. Factor o(c).
5*(c - 9)*(c + 3)
Suppose -2*g = -4, -m - 5*g + 32 = m. Let y = 14 - m. Factor 2*l**4 + 2*l**4 + 5*l - 6*l**2 + 2 - 2*l**y - 3*l.
2*(l - 1)**2*(l + 1)*(2*l + 1)
Let x = -333/26 - -4675/364. Let n(h) be the second derivative of 0*h**3 - x*h**4 + 0*h**2 - h + 0 - 3/140*h**5. Factor n(k).
-3*k**2*(k + 1)/7
Let c = 7670 - 115046/15. Let a(b) be the second derivative of 12/5*b**2 + 0 + 15*b + 1/90*b**4 + c*b**3. Factor a(r).
2*(r + 6)**2/15
Let x(z) be the second derivative of -5/42*z**7 + 5/2*z**3 + 3*z + 1/2*z**6 - 5/2*z**2 - 1/2*z**5 - 5/6*z**4 + 0. Find g, given that x(g) = 0.
-1, 1
Factor 3*f**2 + 5*f**2 - 390*f - 17*f**2 + 13*f**2 + f**2.
5*f*(f - 78)
Let c = -353765/7 - -50781. Let k = c + -242. Solve -12/7*y**3 - 24/7*y + k + 26/7*y**2 + 2/7*y**4 = 0.
1, 2
Let s(i) be the second derivative of 722/21*i**3 - 93*i + 0*i**2 + 1/140*i**5 + 19/21*i**4 + 2. Factor s(f).
f*(f + 38)**2/7
Let q(w) be the first derivative of -3*w**4/4 + 68*w**3 + 651*w**2/2 - 852*w - 1486. Factor q(k).
-3*(k - 71)*(k - 1)*(k + 4)
Determine i so that -93/7*i + 90/7*i**2 + 0 + 3/7*i**3 = 0.
-31, 0, 1
Let c be ((-935995)/(-69330))/((-1)/(3/(-2))). Let s = -2/2311 + c. Determine n, given that -77/4*n**3 + 9*n**4 - n + s*n**5 + 0 - 9*n**2 = 0.
-1, -2/9, 0, 1
Factor 0 - 1/5*o**3 - 38/5*o + 21/5*o**2.
-o*(o - 19)*(o - 2)/5
Let l(p) be the third derivative of p**7/1260 + p**6/180 - p**5/18 - p**4/3 + 2*p**2 - 394. Factor l(i).
i*(i - 4)*(i + 2)*(i + 6)/6
Let m(d) = -37*d**2 + 691*d - 643. Let w(z) = 20*z**2 - 348*z + 322. Let q(j) = 6*m(j) + 11*w(j). Factor q(s).
-2*(s - 158)*(s - 1)
Let s(u) = -16*u + 268. Let t be s(19). Let c be -5 + (-80)/t + 3. Let -1/9*i**3 - c*i**2 + 1/3*i + 0 = 0. What is i?
-3, 0, 1
Suppose 9 = 12*f - 9*f. Suppose 260 = 4*j - 4*s, -2*s = -f*j + 3*s + 193. Let 10*o + 51*o**2 + 5*o**3 + 0*o**3 - j*o**2 = 0. What is o?
0, 1, 2
Let s(g) = -g**2 + 327*g + 324. Let d(u) = 2*u**2 - 328*u - 324. Let h(w) = -4*d(w) - 6*s(w). Factor h(y).
-2*(y + 1)*(y + 324)
Let p(m) be the third derivative of 101*m**6/20 + 61*m**5/6 + m**4/6 + 282*m**2. Factor p(c).
2*c*(c + 1)*(303*c + 2)
Solve 10*w**5 + 0*w**5 + 63*w**2 - 51*w**3 - 7*w**5 + 89*w - 15*w**4 - 89*w = 0.
-3, 0, 1, 7
Let t = -42 - -142. Factor 9*g**2 - 25*g + t - 50 - 56.
(g - 3)*(9*g + 2)
Let o(t) be the first derivative of -t**3 - 42*t**2 - 225*t - 284. Factor o(s).
-3*(s + 3)*(s + 25)
Let c = 1950 + -1945. Let y(q) be the second derivative of 1/70*q**c + 5*q + 1/105*q**6 + 0 + 0*q**3 - 1/21*q**4 + 0*q**2. Factor y(g).
2*g**2*(g - 1)*(g + 2)/7
Suppose -l - 14*l - 7560 = 0. Let h be ((-5)/10)/(3/l). Suppose h*w**3 + 288*w - 22*w**4 - 388*w**2 + 16*w**3 + 6*w**4 + 44*w**3 - 64 = 0. Calculate w.
1/2, 4
Let s = -457/69 + 183/23. Let f(o) be the second derivative of 0*o**3 + s*o**2 - 1/6*o**4 - 1/30*o**5 + 0 + 18*o. What is z in f(z) = 0?
-2, 1
Let r(v) be the third derivative of -v**5/360 - 1375*v**4/72 - 1890625*v**3/36 + 