 = -3*f + 26. Let q be k(8). Suppose -12*j**q + 14*j + 2*j**3 + 10*j**3 + j**4 - 10*j**3 - 5 = 0. What is j?
-5, 1
Let j(c) = 2*c**3 - 2*c**2 - 27*c + 52. Let s be j(3). Let s*q + 49 + 1/4*q**2 = 0. Calculate q.
-14
Factor -9 + 55/6*b - 1/6*b**2.
-(b - 54)*(b - 1)/6
Let g(n) = n**3 - 28*n**2 + 29*n - 51. Let j be g(27). Solve -j*b + b**2 - 175 + 0*b**2 + 171 = 0.
-1, 4
Suppose 136*b = 125*b. Let o(n) be the first derivative of -1/15*n**6 - 9 - 3/10*n**4 - 2/15*n**3 + 0*n - 6/25*n**5 + b*n**2. Factor o(u).
-2*u**2*(u + 1)**3/5
Let x(r) be the second derivative of 1/6*r**4 + 0 - 1/3*r**3 + 0*r**2 + 5*r. Find t, given that x(t) = 0.
0, 1
Let k(c) = c**5 - c**2 - c - 1. Let v(y) = -6*y**5 + y**4 - 3*y**3 + 6*y**2 + 9*y + 7. Let n(p) = 35*k(p) + 5*v(p). Let n(s) = 0. Calculate s.
-2, -1, 0, 1
Solve -4/3*t**4 + 8/3*t**3 - 4/3*t**2 + 0 + 0*t = 0.
0, 1
Let i(r) be the first derivative of r**7/5880 - r**6/2520 - 8*r**3 - 32. Let d(a) be the third derivative of i(a). Find n, given that d(n) = 0.
0, 1
Let d be 3/12 - 31938/(-24). Factor 41 + d + 84*v**2 + 11*v - 4*v**3 - 599*v.
-4*(v - 7)**3
Find f, given that 24*f - 12*f**4 + 12*f**2 - 3/2*f**5 - 45/2*f**3 + 0 = 0.
-4, -1, 0, 1
Let q be 81/(350/1 + 6). Let s = q + 2/89. Factor -3/4*p**3 - s*p + 0 + 3/4*p**2 + 1/4*p**4.
p*(p - 1)**3/4
Let p(r) be the third derivative of -r**5/30 + 13*r**4/12 - 4*r**3 - r**2 + 54*r. Find u such that p(u) = 0.
1, 12
Let l(k) be the third derivative of k**7/490 + k**6/20 + 57*k**5/140 + 9*k**4/14 - 54*k**3/7 + 853*k**2. Suppose l(d) = 0. What is d?
-6, -3, 1
Let h(w) be the third derivative of 0*w + 1/40*w**6 + 0*w**3 + 1/168*w**4 + 1/392*w**8 - 19/1470*w**7 + 0 - 10*w**2 - 3/140*w**5. Factor h(b).
b*(b - 1)**3*(6*b - 1)/7
Let k(g) = -2*g**4 - 60*g**3 - 96*g**2 - 35*g. Let p(l) = 7*l**4 + 174*l**3 + 288*l**2 + 104*l. Let t(f) = -8*k(f) - 3*p(f). Factor t(u).
-u*(u + 4)**2*(5*u + 2)
Let j be 0 - (-5)/40 - 81/8. Let k(f) = -f - 8. Let d be k(j). Factor 6/19*y - 2/19*y**3 + 0*y**d - 4/19.
-2*(y - 1)**2*(y + 2)/19
Let f = 2 + 0. Let i = -159 - -163. Factor -2*m**2 - 6*m**3 + 2*m**f + i*m**3 + 2*m**2.
-2*m**2*(m - 1)
Factor 0 - 1/2*b**4 - 29/2*b**2 - 5*b**3 - 10*b.
-b*(b + 1)*(b + 4)*(b + 5)/2
Let s(l) be the first derivative of l**4/44 - 6*l**3/11 - l**2/22 + 18*l/11 + 29. Factor s(j).
(j - 18)*(j - 1)*(j + 1)/11
Let d = 4 + -8. Let r = 10 + d. Factor -12*o**3 + 21*o**5 + r + 36*o**4 + 20*o**2 + 2*o - 11*o - 62*o**2.
3*(o - 1)*(o + 1)**3*(7*o - 2)
Let w(m) be the first derivative of -5*m**6/6 + m**5 + 5*m**4/2 + 155. Factor w(f).
-5*f**3*(f - 2)*(f + 1)
Let a(r) be the first derivative of 3*r**4/4 + 9*r**3 + 30*r**2 + 175. Determine t so that a(t) = 0.
-5, -4, 0
Let q be (-2)/(-24)*-1 - 67/(-804). Factor q*g + 2/3*g**4 - 2/3*g**2 + 0*g**3 + 0.
2*g**2*(g - 1)*(g + 1)/3
Let t = -4371/4 - -1093. Let w(j) be the first derivative of -1/4*j**2 + j - 8 - 5/4*j**4 + 1/5*j**5 + t*j**6 - 2*j**3. Factor w(h).
(h - 2)*(h + 1)**3*(3*h - 1)/2
Let q(y) be the second derivative of 11*y**5/8 + 73*y**4/16 - y**3/12 - 15*y - 7. Determine k so that q(k) = 0.
-2, 0, 1/110
Let h(t) be the first derivative of 2*t**5/65 + 15*t**4/26 - 22*t**3/13 + 17*t**2/13 + 485. Factor h(i).
2*i*(i - 1)**2*(i + 17)/13
Let s = -88 - -70. Let z be (-2)/15*s - (-18)/30. Factor 0*m**z + 2/7*m**2 - 2/7*m**4 + 0*m + 0.
-2*m**2*(m - 1)*(m + 1)/7
Let v(l) be the third derivative of -l**10/126000 + 11*l**5/60 + 7*l**2. Let z(b) be the third derivative of v(b). Factor z(i).
-6*i**4/5
Let r(l) be the third derivative of -l**7/42 + 35*l**6/8 + 53*l**5/6 + 660*l**2 + 1. Let r(k) = 0. Calculate k.
-1, 0, 106
Let x(k) be the first derivative of k**5/210 - 5*k**4/84 + 4*k**3/21 - 9*k**2/2 - 14. Let w(y) be the second derivative of x(y). Factor w(c).
2*(c - 4)*(c - 1)/7
Suppose 4*s - 72 + 12 = 0. Let m = -9 + s. Determine q, given that -243*q**2 - m - 37*q - 6 - 71*q = 0.
-2/9
Let d(b) be the third derivative of -b**5/40 + b**4/16 + b**2 - 4. Factor d(s).
-3*s*(s - 1)/2
Find y, given that 2*y**2 - 552*y + 2*y**2 + 536*y = 0.
0, 4
Suppose i = 4*i + 6, 2*i = 2*x. Let v(a) = -2*a**2 - 2*a + 2. Let s(m) = m**2 + 3*m - 1. Let u(k) = x*s(k) - 3*v(k). Factor u(y).
4*(y - 1)*(y + 1)
Suppose 2*k - 643 = -637. Factor -46/3*o**2 - 8/3 + 40/3*o + 14/3*o**k.
2*(o - 2)*(o - 1)*(7*o - 2)/3
Let n(s) = 4*s**3 + 6*s**2 - 2*s. Let k(g) = -6*g + 3*g + 8*g**2 - g**2 + 5*g**3 + 0*g. Let t(z) = -2*k(z) + 3*n(z). Suppose t(f) = 0. What is f?
-2, 0
Let g be 2/(-11) - (-776)/(-88). Let o be (10/(-50))/(2 - (-19)/g). Factor 6/5 + 3/5*t**2 - o*t.
3*(t - 2)*(t - 1)/5
Let w(r) be the third derivative of -r**5/600 + r**4/60 + r**3/5 + 78*r**2. Find g such that w(g) = 0.
-2, 6
Let c(q) be the first derivative of -3/4*q**4 - 21/4*q**2 - 13 - 3*q - 7/2*q**3. Factor c(k).
-3*(k + 1)*(k + 2)*(2*k + 1)/2
Let q(g) be the first derivative of -1/8*g**4 + 0*g + 1 - 1/2*g**2 - 1/2*g**3. Let q(d) = 0. What is d?
-2, -1, 0
Find o such that 0*o**2 - 1/3*o**5 + o**3 - 2/3*o**4 + 0*o + 0 = 0.
-3, 0, 1
Let p(g) = 5*g**3 - 79*g**2 - 49*g - 14. Let c(r) = 2*r**3 - 37*r**2 - 24*r - 6. Let u(h) = -7*c(h) + 3*p(h). Find z, given that u(z) = 0.
-21, -1, 0
Let i = -501 - -243. Let f = -257 - i. Let -5/2*l**2 - 9/2*l - f + 9/2*l**3 + 7/2*l**4 = 0. Calculate l.
-1, -2/7, 1
Let o = 407/602 - 9/86. Let c = 8 + -8. Determine l so that c - 2/7*l**2 + o*l = 0.
0, 2
Let h(q) be the first derivative of q**6/480 - q**5/20 - 9*q**4/32 + 7*q**3 - q - 26. Let f(v) be the third derivative of h(v). Find i, given that f(i) = 0.
-1, 9
Factor -2176*l + 3*l**3 - 4*l**2 + 2173*l - 4*l**3.
-l*(l + 1)*(l + 3)
Let t be (-122)/1281*3/(-32). Let d(b) be the second derivative of 0*b**3 + 0*b**4 - t*b**7 + 0 + 3/80*b**6 + 0*b**2 - 3/80*b**5 + 2*b. Factor d(n).
-3*n**3*(n - 2)*(n - 1)/8
Let m(i) = -3*i - 12. Let g = -16 + 10. Let v be m(g). Solve -v*a + 7*a**3 + 3*a + 5*a**2 + a = 0 for a.
-1, 0, 2/7
Let y(l) be the second derivative of 1/90*l**4 + 0 - 1/45*l**3 - 29*l - 2/15*l**2. Let y(h) = 0. Calculate h.
-1, 2
Suppose -2*b = 5*x - 2, -19*b + 2 = -3*x - 17*b. Let p(z) be the second derivative of 13*z + x - 125/2*z**2 - 5/12*z**4 + 25/3*z**3. Factor p(c).
-5*(c - 5)**2
Let z(d) = -44*d**3 - d**2 + 2*d - 1. Let b be z(1). Let k(l) = -l**3 + 1. Let w(p) = 20*p**3 + 6*p**2 - 4*p - 22. Let m(x) = b*k(x) - 2*w(x). Factor m(t).
4*t*(t - 2)*(t - 1)
Let l(q) be the third derivative of 0 + 0*q + 24*q**2 + 2/3*q**3 - 1/12*q**4 - 1/30*q**5. Determine v so that l(v) = 0.
-2, 1
Let u be (-28)/4 + ((-85)/(-4) - 11). Factor 1/2*b + 5*b**3 - u*b**2 + 0.
b*(4*b - 1)*(5*b - 2)/4
Suppose -7*j**2 + 0 - 1/2*j**4 - 7/2*j**3 - 4*j = 0. Calculate j.
-4, -2, -1, 0
Let y = 251/793 + -7/793. Let y - 18/13*c**2 + 14/13*c = 0. What is c?
-2/9, 1
Let h(y) be the first derivative of 1/15*y**3 - 17 + 1/2*y**2 + 0*y. Factor h(o).
o*(o + 5)/5
Let w(h) be the third derivative of h**5/90 - 7*h**4/36 + 2*h**3/3 - 16*h**2. Suppose w(i) = 0. What is i?
1, 6
Let o(q) be the third derivative of 0*q - 4*q**2 + 0 + 7/10*q**5 + 49/4*q**4 + 1/60*q**6 + 343/3*q**3. Factor o(k).
2*(k + 7)**3
Let s = 21/251 + 355/1757. Solve s*l**2 - 2/7*l - 12/7 = 0 for l.
-2, 3
Let i(w) be the third derivative of -w**8/2352 - 2*w**7/735 - w**6/280 + w**5/105 + w**4/42 - 103*w**2 - 3*w. Find c such that i(c) = 0.
-2, -1, 0, 1
Let j(a) = -9*a + 6. Let n be j(5). Let m = n - -42. Solve 2/9 + 2/9*f - 2/9*f**2 - 2/9*f**m = 0.
-1, 1
Let s(r) be the first derivative of 0*r + 2/65*r**5 + 10 + 1/26*r**4 - 4/39*r**3 + 0*r**2. Suppose s(y) = 0. What is y?
-2, 0, 1
Let d(l) = -3*l - 6. Let q be d(-5). Let w(i) = i - 6. Let y be w(q). Suppose 2*a**2 - 3*a**3 + 5*a**y - 2*a**2 - 2*a = 0. What is a?
-1, 0, 1
Let a(m) be the second derivative of -3*m**5/140 + 15*m**4/28 + 33*m**3/14 + 51*m**2/14 + 104*m. Find x, given that a(x) = 0.
-1, 17
Let n(x) be the second derivative of x**4/6 + 18*x**3 + 729*x**2 - x - 15. Solve n(k) = 0.
-27
Let u(i) = 2*i - 23. Let p(q) = 9*q - 116. Let b(x) = -2*p(x) + 11*u(x). Let c be b(7). Factor -24*t**2 - 12*t - 2*t**3 + 0*t**3 - c*t**3.
-3*t*(t + 2)*(3*t + 2)
Let x = -7681 - -69131/9. Suppose x + 8/9*q + 8/9*q**3 + 2/9*q**4 + 4/3*q**2 = 0. What is q?
-1
Let f = 400/12987 - -3/481. Let u(b) be the second derivative of f*b**4 + 1/90*b**5 - 5*b + 0*b**2 