/4*q**2 + 3/8*q**5 = 0.
-11, -2, -1, 1
Let f(q) be the first derivative of 180/7*q**4 - 4/35*q**5 + 49 + 729000/7*q**2 - 16200/7*q**3 - 16402500/7*q. Solve f(d) = 0.
45
Let p(i) be the second derivative of -1/10*i**6 - 2*i**3 - 3/4*i**5 - i + 0*i**2 - 2*i**4 + 22. Suppose p(y) = 0. Calculate y.
-2, -1, 0
Let b = 387967/4 - 1163869/12. Determine c so that -8/3*c**3 + b*c + 28/9*c**2 - 32/9 + 4/9*c**4 = 0.
-1, 1, 2, 4
Let s(z) = 36*z + 4. Let f be s(-2). Let w be 12/54*3 + f/(-6). Factor -10 + 3*p**2 - 48*p + 214 - w + 0*p**2.
3*(p - 8)**2
Factor 37*i**4 - 6*i + 6761*i**2 - 45*i + 102*i**3 - 85*i + 0*i**5 + i**5 - 6765*i**2.
i*(i - 1)*(i + 2)**2*(i + 34)
Suppose 4*p + 0 = -20, -4*y = 3*p + 1211. Let j be 12/(-1053)*-33 + 46/y. Suppose -j*u**3 + 2/9 - 4/9*u**2 + 2/9*u**4 + 1/9*u**5 + 1/9*u = 0. What is u?
-2, -1, 1
Let q(d) be the second derivative of 7*d**4/30 - 2*d**3/45 - 2*d - 456. Factor q(k).
2*k*(21*k - 2)/15
Let p be 8 + (-285)/19 - (-2 + (-37)/7). Let q(n) be the second derivative of 0 - 1/7*n**3 + 0*n**4 + 13*n + 1/70*n**5 + p*n**2. Determine m so that q(m) = 0.
-2, 1
Suppose -11*y + 18 = -2*y. Let -5*p**3 + 25 - 4*p + 16*p - 7*p - 25*p**y = 0. What is p?
-5, -1, 1
Let n be ((2184/3146*11)/((-20)/(-6)))/((-3)/(-10)). Let -16/11 + 8/11*q**4 - 40/11*q + n*q**2 - 46/11*q**3 = 0. Calculate q.
-1/4, 2
Suppose 4*s - 4*x = 542 - 170, 5*x = 2*s - 183. Let j = s - 82. Suppose -101*w - 5*w**2 - 16*w**2 + j + 92*w = 0. What is w?
-1, 4/7
Let w(m) be the second derivative of m**4/8 + 422*m**3 + 534252*m**2 + 386*m. Find y, given that w(y) = 0.
-844
Let w be (14 - 2)*(-7)/(-28). Let -g**4 - 55*g**2 + 32*g**3 + 20*g**w + 38*g**3 + 28*g - 64*g**3 + 2*g**4 = 0. Calculate g.
-28, 0, 1
Let n = -6056 + 6058. Let c(l) be the second derivative of 1/4*l**4 - 1/10*l**6 + 1/2*l**3 - 3/20*l**5 + 0*l**n + 3*l + 0. Factor c(i).
-3*i*(i - 1)*(i + 1)**2
Let u(p) be the third derivative of -3*p**5/100 + 89*p**4/40 + 46*p**3/5 + 255*p**2 - 7. Find m, given that u(m) = 0.
-1, 92/3
Let z(o) = -2*o**2 - 13*o - 4. Let p be z(-6). Suppose p*g + v = 2, 4*g - 2*v - 16 = 2*v. Factor 3*j**2 + 0*j**2 + 6*j**3 + 2*j + j**g - 4*j**3.
2*j*(j + 1)**2
Let t(j) be the second derivative of j**4/84 - 165*j**3/14 - 248*j**2/7 + 3*j + 1. Factor t(s).
(s - 496)*(s + 1)/7
Let q = 67810 + -67808. Factor 136/7*y + 96/7 - 12/7*y**q.
-4*(y - 12)*(3*y + 2)/7
Determine g, given that -28/5*g**3 - 2/5*g**5 + 32/5*g**2 - 18/5*g + 4/5 + 12/5*g**4 = 0.
1, 2
Let f(a) be the third derivative of -a**7/42 - 17*a**6/8 - 319*a**5/12 - 815*a**4/8 - 550*a**3/3 - 5*a**2 + 833*a. Factor f(m).
-5*(m + 1)**2*(m + 5)*(m + 44)
Let i(c) = -2*c + 78. Let u be i(-13). Factor -3*w**2 + 13*w**2 + 106*w**3 + 8*w - u*w**3.
2*w*(w + 1)*(w + 4)
Let i(x) be the first derivative of 2*x**5/45 + x**4 + 64*x**3/9 + 128*x**2/9 + 493. Let i(a) = 0. Calculate a.
-8, -2, 0
Let z be (-52)/(-14) + 12/42. Suppose -4*p + 0*p = 5*x - 8, z*x - 2 = -p. Suppose 3*d - p*d**2 + d - 2596*d**4 + 2598*d**4 - 4*d**3 = 0. What is d?
-1, 0, 1, 2
Let c(t) be the first derivative of 31 - 4*t**4 + 2/3*t**6 + 6*t**2 + 8/3*t**3 + 0*t - 8/5*t**5. Factor c(p).
4*p*(p - 3)*(p - 1)*(p + 1)**2
Solve -55/3*w + 0 - 1/6*w**3 + 9/2*w**2 = 0 for w.
0, 5, 22
Suppose 79 = -5*f + 99. Let g be 4 - 9 - -259 - -3. Factor -g + 129 + f*a**3 + 136 - 4*a - 8*a**2.
4*(a - 2)*(a - 1)*(a + 1)
Let p(h) be the second derivative of -h**10/151200 - h**9/37800 + h**8/11200 + 17*h**4/12 + 87*h. Let q(l) be the third derivative of p(l). Factor q(b).
-b**3*(b - 1)*(b + 3)/5
Let l = -792 - -796. Determine g so that -16*g**4 + 10*g**5 - l*g**2 + 6*g**2 - 37*g**5 - 31*g**5 - 38*g**5 + 10*g**3 = 0.
-1/4, 0, 1/3
Factor 453 - 6*x**3 + 3*x**4 - 33*x**2 + 36*x - 895 + 550.
3*(x - 3)**2*(x + 2)**2
Suppose 0*i - 1666 = -5*f - i, 0 = 3*f - 2*i - 1010. Let n = -330 + f. Determine z so that 4/9*z**2 + 2/9*z**5 - 4/9*z**n + 0 - 2/9*z + 0*z**3 = 0.
-1, 0, 1
Let t(a) be the second derivative of a**7/2205 - 17*a**6/1260 + a**5/10 + 9*a**4/28 + 2*a**2 - 116*a. Let f(d) be the first derivative of t(d). Factor f(s).
2*s*(s - 9)**2*(s + 1)/21
Suppose -9 = -2*o + 3*k, 4*k - 12 = -5*o - 1. Suppose -3*f + o*z + z = -7, 0 = -f - 4*z - 3. Let -n**2 + 3 + f - n**2 - 2*n**2 = 0. What is n?
-1, 1
Let b(r) = -r**3 + 16*r**2 - 12*r - 43. Let z be b(15). Solve -70*h - 2500 - 4*h**z + 10*h - 140*h = 0.
-25
Let i(p) be the third derivative of -p**5/60 - p**4/24 + p**3/3 - 30*p**2. Let q be i(0). Factor -64*g**2 - 10*g**3 + 31*g**2 + 38*g**q.
-5*g**2*(2*g - 1)
Let b(c) be the third derivative of 7/24*c**4 - 81*c**2 + 1/4*c**3 + 0 + 0*c - 1/24*c**5. Factor b(f).
-(f - 3)*(5*f + 1)/2
Let g(c) = -16*c**2 + 3600*c - 3612. Let n(x) = 19*x**2 - 3600*x + 3616. Let i(a) = 5*g(a) + 4*n(a). Factor i(u).
-4*(u - 899)*(u - 1)
Let j be 3*1 - (-18 - (-12 + 20)). Determine n so that -6*n**3 - 41*n**2 + 31*n**2 + 16*n**4 - 25*n + j*n + 8*n**5 = 0.
-2, -1, 0, 1/2
Let l(c) = -23*c**2 - 204*c - 205. Let y(j) = 40*j**2 + 408*j + 410. Let f(m) = 7*l(m) + 4*y(m). Find w, given that f(w) = 0.
-1, 205
Let t(b) = -b**2 + 38*b + 864. Let c be t(54). Let w(y) be the third derivative of 3*y**3 + 15*y**2 + c + 1/30*y**5 + 0*y - 1/2*y**4. Factor w(i).
2*(i - 3)**2
Let b(v) = 6*v + 2. Let u be b(0). Suppose -10*p + 3*p + 28 = 0. Solve p*t**2 - 24*t + 0*t**2 - 2*t**2 - 5*t**u = 0.
-8, 0
Let w(s) be the first derivative of 4802*s**3/33 - 588*s**2/11 + 72*s/11 - 1281. Suppose w(a) = 0. What is a?
6/49
Let j(a) be the first derivative of 2/11*a + 10/11*a**2 - 197 + 10/11*a**4 + 58/33*a**3. Suppose j(g) = 0. Calculate g.
-1, -1/4, -1/5
Let d be (-54)/75*(3584/(-1344) - (-1 + 10)). Factor 276/5*m**3 - 596/5*m**2 - 162/5 + 522/5*m + 2/5*m**5 - d*m**4.
2*(m - 9)**2*(m - 1)**3/5
Let b(v) be the first derivative of 0*v**3 + 4/9*v**6 + 0*v + 0*v**2 + 2*v**5 + 29 - 2/3*v**4. Factor b(x).
2*x**3*(x + 4)*(4*x - 1)/3
Let k(l) be the third derivative of -5/21*l**3 - 41*l + 1/24*l**4 + l**2 - 1/420*l**5 + 0. Factor k(t).
-(t - 5)*(t - 2)/7
Let y = 44/67 - 21/134. Factor y*a**2 - 1/2 + 0*a.
(a - 1)*(a + 1)/2
Let t(i) be the third derivative of 16*i**7/315 + 22*i**6/135 - 781*i**5/270 - 413*i**4/36 - 52*i**3/3 + 2*i**2 - 51. Suppose t(m) = 0. Calculate m.
-13/3, -3/4, 4
Let f be 5 + (-132)/28 + 900/11550. Factor 18/11*o - f - 14/11*o**2.
-2*(o - 1)*(7*o - 2)/11
What is f in -1/3*f**4 + 0*f - 51*f**3 + 0 + 154/3*f**2 = 0?
-154, 0, 1
Let u(s) be the first derivative of -2*s**5/75 + 4157*s**4/15 - 11525974*s**3/15 + 34552984*s**2/15 - 34544672*s/15 - 15523. What is c in u(c) = 0?
1, 4156
Let k(d) be the third derivative of -d**10/15120 - d**9/1344 - d**8/1008 - d**5/15 - d**4/12 + 46*d**2. Let a(l) be the third derivative of k(l). Factor a(x).
-5*x**2*(x + 4)*(2*x + 1)
Let d(a) be the first derivative of -a**4/4 + 23*a**3/3 + 532*a**2 - 25872*a + 11802. What is v in d(v) = 0?
-33, 28
Let v(w) be the second derivative of 23 + 0*w**2 - 11/42*w**4 + 5*w + 1/210*w**6 - 1/140*w**5 + 20/21*w**3. What is j in v(j) = 0?
-5, 0, 2, 4
Let r(g) be the third derivative of -g**5/120 - 67*g**4/48 - 11*g**3/2 - 465*g**2 + g. Find k, given that r(k) = 0.
-66, -1
Let o(s) be the second derivative of 54*s**2 + 0 - 24*s + 1/16*s**4 - 3*s**3. Let o(g) = 0. What is g?
12
Let o(x) be the third derivative of 0*x - 12*x**2 + 0 + 0*x**3 + 5/8*x**6 - 203/240*x**5 + 3/280*x**7 + 17/48*x**4. What is v in o(v) = 0?
-34, 0, 1/3
Suppose 0 = 25*q + 210 - 1335. Find s, given that q*s**2 + 216*s + 35 + 90 - 3*s**3 - 17 + 120 = 0.
-2, 19
Find i such that -52/9*i**2 + 8/3*i**4 - 22/9*i**3 - 2/9*i + 4/9 = 0.
-1, -1/3, 1/4, 2
Let p = -234/263 + 7950/1841. Suppose p*r + 18/7*r**2 + 8/7 = 0. What is r?
-2/3
Let d(a) be the first derivative of -1036*a**5/15 + 3566*a**4/3 - 3364*a**3/3 - 1672*a**2/3 + 208*a/3 - 578. Solve d(w) = 0 for w.
-2/7, 2/37, 1, 13
Let u(w) be the third derivative of -w**5/12 + 815*w**4/12 - 540*w**3 + 1529*w**2. Factor u(b).
-5*(b - 324)*(b - 2)
Let f(y) be the first derivative of y**3/12 + 11*y**2/8 + 9*y/2 + 1345. Suppose f(q) = 0. What is q?
-9, -2
Factor 0*j + 0*j**2 + 0*j**3 + 0 - 16/13*j**4 + 2/13*j**5.
2*j**4*(j - 8)/13
Let t(l) be the second derivative of -l**6/240 - 13*l**5/80 + 239*l**4/96 + 11*l**3/2 + 1635*l + 1. Factor t(a).
-a*(a - 8)*(a + 1)*(a + 33)/8
Let y = -7015