**3 + c*h**2 - h**4 + 5*h.
-4*(h - 1)**2*(h + 1)*(h + 2)
Let r be 24/(-54) + ((-91504)/1260)/(-86). What is d in -24/5 - r*d**3 - 16/5*d**2 - 38/5*d = 0?
-4, -3, -1
Let y(l) = -833*l + 134948. Let s be y(162). Let 54/11*r - 52/11 - 2/11*r**s = 0. What is r?
1, 26
Let g(w) be the second derivative of -5/28*w**4 - 9/14*w**2 - 3/140*w**5 + 27*w + 0 - 1/2*w**3. Let g(j) = 0. Calculate j.
-3, -1
Let r(d) be the second derivative of d**5/140 - d**4/42 - 8*d**3/21 + 16*d**2/7 - 26*d - 24. Determine u so that r(u) = 0.
-4, 2, 4
Factor 240/11 - 2/11*n**3 - 18/11*n**2 + 92/11*n.
-2*(n - 5)*(n + 2)*(n + 12)/11
Let m be (-66)/(-20)*(-3450)/(-2530). Factor 3/2*z**2 + 3 - m*z.
3*(z - 2)*(z - 1)/2
Let w(c) be the second derivative of -c**7/3 - 298*c**6/5 - 15076*c**5/5 - 51208*c**4/3 - 25296*c**3 + 30752*c**2 + 903*c. Find q such that w(q) = 0.
-62, -2, 2/7
Let v be (-1)/(-4)*68 - 2318/183. Factor 1/3 + 40/3*n**2 - v*n.
(5*n - 1)*(8*n - 1)/3
Suppose 0 = k + y + 6 - 7, 3*y = -15. Let s be -4*k/24 - (-22)/14. Factor s*p**2 + 1/7*p - 1/7*p**3 - 4/7.
-(p - 4)*(p - 1)*(p + 1)/7
Suppose 0 = 2*l + 4*i - 20688, l - 20688 = -l + 4*i. Factor l - 10344 - 24*w**2 + 4*w**5 + 4*w**3 + 16*w**4.
4*w**2*(w - 1)*(w + 2)*(w + 3)
Let o(v) be the third derivative of -v**7/120 + v**6/90 - v**5/210 + 109*v**3/6 + 149*v**2. Let s(h) be the first derivative of o(h). Factor s(t).
-t*(7*t - 2)**2/7
Let l(u) be the third derivative of u**6/540 + 7*u**5/90 - 95*u**4/54 + 56*u**3/9 - 724*u**2. Factor l(k).
2*(k - 6)*(k - 1)*(k + 28)/9
Let c(x) be the second derivative of x**7/14 + x**6 + 3*x**5/4 - 10*x**4 - 18*x**3 - 1100*x. Let c(q) = 0. Calculate q.
-9, -2, -1, 0, 2
Let w(d) = 5*d**4 - 24*d**3 + 43*d**2 - 24*d - 12. Let z(f) = -5*f**4 + 25*f**3 - 45*f**2 + 25*f + 10. Let k(c) = -5*w(c) - 6*z(c). Let k(t) = 0. Calculate t.
0, 1, 2, 3
Suppose 6*o - 8*o + 6 = 0. Solve 150 - 11*v**3 + 8*v**3 - 24*v**2 - 3*v**o + 140*v - 6*v**3 + 2*v**4 = 0 for v.
-3, -1, 5
Let y(a) be the third derivative of 19*a**5/30 - 7*a**4/8 + a**3/6 - 7*a**2 + 99*a. Factor y(b).
(2*b - 1)*(19*b - 1)
Let o(j) be the first derivative of 46 + 1/12*j**3 - 7/4*j + 3/4*j**2. Solve o(m) = 0 for m.
-7, 1
Let t = 4/2705 + 4444307/5410. Let l = -8179/10 + t. Factor 24/5 + 3/5*z**2 - l*z.
3*(z - 4)*(z - 2)/5
Determine a, given that -48*a + 0 + 0 - 48*a + 3*a**2 + 69*a = 0.
0, 9
Let x(o) be the third derivative of 0 - 1/48*o**4 - 1/280*o**7 + 1/240*o**6 + 0*o + 1/60*o**5 - 1/24*o**3 - 5*o**2. Find f such that x(f) = 0.
-1, -1/3, 1
Solve -318*r**2 - 10719144 + 101124*r + 1/3*r**3 = 0.
318
Let m(v) = v**2 + v - 1. Let o(f) = f + 23. Let d be o(13). Let l = -35 + d. Let q(n) = 6*n**2 - 6*n + 3. Let x(u) = l*q(u) - 3*m(u). Factor x(a).
3*(a - 2)*(a - 1)
Let h(b) be the third derivative of 56*b - 455/3*b**4 - 1690/3*b**3 - 1/24*b**6 + 0 - 53/12*b**5 + 2*b**2. Find r, given that h(r) = 0.
-26, -1
Suppose -50 = -22*v + 82. Let -4*a - 4*a - 48*a + 10*a**4 + 2*a**5 - 24 + v*a**3 - 34*a**2 = 0. What is a?
-3, -2, -1, 2
Suppose 3572*k - 3547*k - 50 = 0. Let j(h) be the first derivative of -1/3*h**3 + 0*h - 20 + h**k. What is q in j(q) = 0?
0, 2
Suppose 5*q + 417 = -3*w, -w = -5*q - 397 - 24. Let v be ((-2709)/q)/43*(-8)/(-3). Find b such that 0*b + 4/3*b**4 + 0*b**v - 4/3*b**3 + 0 = 0.
0, 1
Let w(x) be the first derivative of x**6/8 + 27*x**5/10 - 99*x**4/4 + 70*x**3 - 72*x**2 - 6429. Factor w(s).
3*s*(s - 2)**3*(s + 24)/4
Let z be (12 + -17)*(-32)/(-5). Let n = -28 - z. Find k such that -20*k**2 + 15*k - 27*k + 2 + 34 - n*k**3 = 0.
-3, 1
Let v(l) be the first derivative of 39 + 0*l - 15/4*l**4 + 3*l**5 + 5/3*l**3 - 5/6*l**6 + 0*l**2. Factor v(h).
-5*h**2*(h - 1)**3
Let s be -5*3*(-60)/360. Let k(u) be the first derivative of -5*u**5 - 10/3*u**6 + 0*u + 15/4*u**4 + s*u**2 + 30 + 25/3*u**3. What is w in k(w) = 0?
-1, -1/4, 0, 1
Let p be 4*-3 - 832/(-52). Let m(u) be the second derivative of 0 + 0*u**2 + 2/15*u**3 - 3*u + 1/30*u**p. Factor m(z).
2*z*(z + 2)/5
Suppose -2/5*s**3 - 14/5*s**2 - 4*s + 0 = 0. What is s?
-5, -2, 0
Let n(i) = -42*i**2 - 126*i + 488. Let q(p) = 115*p**2 + 379*p - 1464. Let z(v) = -22*n(v) - 8*q(v). Suppose z(s) = 0. Calculate s.
4, 61
Let y(l) be the second derivative of -l**8/7560 - 11*l**7/3780 - l**6/162 - 233*l**3/6 - 279*l. Let c(v) be the second derivative of y(v). Factor c(x).
-2*x**2*(x + 1)*(x + 10)/9
Let a(n) be the third derivative of -n**5/5 - 749*n**4/6 + 500*n**3/3 + 150*n**2. Factor a(o).
-4*(o + 250)*(3*o - 1)
Let m be (4 + -3)*(100 + -1). Let y = -97 + m. Let 0*b**y - 5*b**4 - 5 + 9*b**2 + 0*b**2 + b**2 = 0. Calculate b.
-1, 1
Let j(f) be the third derivative of -29/56*f**4 + 0*f - 4*f**2 + 1/28*f**5 - 7 - 3/7*f**3. Determine p so that j(p) = 0.
-1/5, 6
Suppose 51*d - 33 = -19 + 88. Factor -66/5*l + 2/5*l**d - 68/5.
2*(l - 34)*(l + 1)/5
Let t(i) be the second derivative of 141*i**4/10 - 9*i**3 - 2*i**2/5 - 257*i. Find f, given that t(f) = 0.
-2/141, 1/3
Let t = -1398 + 1431. Suppose -37*g + t*g + 5*s = 0, -s = 4*g. Factor g - 1/3*b - 1/3*b**2.
-b*(b + 1)/3
Let s(k) be the second derivative of -3*k**5/100 - 31*k**4/20 + k**3/10 + 93*k**2/10 - 4905*k. Let s(x) = 0. Calculate x.
-31, -1, 1
Let s(d) = -d**4 - 53*d**3 + 148*d**2 - 82*d. Let z(u) = -8*u**4 - 472*u**3 + 1332*u**2 - 740*u. Let v(m) = -28*s(m) + 3*z(m). Factor v(f).
4*f*(f - 1)**2*(f + 19)
Factor 0 - 12*k**3 - 315/2*k**2 - 39/2*k.
-3*k*(k + 13)*(8*k + 1)/2
Let i(h) = -h**2 + 3*h + 5. Let y be i(0). Suppose -6*o = y*l - o - 30, o - 4 = 0. Factor 19 - 4 - l + 7 - 5*r**2.
-5*(r - 2)*(r + 2)
Let j be 11/(-6) - 1840/(-480). Factor 28/17*q**j + 64/17*q - 256/17 + 2/17*q**3.
2*(q - 2)*(q + 8)**2/17
Find d, given that -6*d**4 - 2*d**4 - 10*d**3 - 5165*d**5 + 5167*d**5 = 0.
-1, 0, 5
Let s(x) be the third derivative of -7*x**5/36 - 115*x**4/2 - 590*x**3/9 + 58*x**2 + 1. Factor s(h).
-5*(h + 118)*(7*h + 2)/3
Let h(z) = -46*z**3 + 34*z**2 + 15*z - 95. Let c(i) = -50*i**3 + 36*i**2 + 14*i - 96. Let q(m) = -11*c(m) + 12*h(m). Determine t so that q(t) = 0.
-3, 2, 7
Suppose -163*b + 80 = -179*b. Let x(i) = -7*i**2 - 225*i + 70. Let z(q) = q + 1. Let o(j) = b*x(j) + 20*z(j). Factor o(f).
5*(f + 33)*(7*f - 2)
Let v(d) = -d**5 + 10*d**3 - 30*d**2 - 4*d + 20. Let h(t) = -t**4 + t**3 - t**2. Let n(z) = 5*h(z) - v(z). Solve n(m) = 0 for m.
-2, -1, 1, 2, 5
Let d(b) = 9*b**2 - 72*b. Suppose -6*t + 32 = 10*t. Let n(c) = -c**2 + 7*c. Let j(q) = t*d(q) + 21*n(q). Solve j(l) = 0.
0, 1
Factor -96/5 + 16/5*r**2 - 8/5*r - 2/5*r**3.
-2*(r - 6)*(r - 4)*(r + 2)/5
Let d(f) be the second derivative of -f**6/600 - f**5/50 + 3*f**4/10 - f**3/6 + 17*f**2/2 + 5*f + 3. Let h(b) be the second derivative of d(b). Solve h(i) = 0.
-6, 2
Let c = -2/101 - -119/909. Suppose 3 = 3*u - 6. Let 2/9*l**u + 1/9*l**4 + c*l**2 + 0*l + 0 = 0. Calculate l.
-1, 0
Suppose 0 = d - 2*k - 67, -d - 4*k + 3*k + 55 = 0. Determine q, given that 3*q**2 + 24 - 39*q + q**2 + d*q + 0 = 0.
-3, -2
Let z(j) be the third derivative of j**4/12 + j**3/6 - 54*j**2. Let m(v) = 3*v**3 + 15*v**2 - 6*v + 6. Let y(c) = m(c) - 6*z(c). Factor y(d).
3*d*(d - 1)*(d + 6)
Let s(j) = j**3 + j**2 + 1. Let v(b) = -48*b**2 + 240*b + 286. Let x be 144/40 - (-8)/20. Let q(n) = x*s(n) + 2*v(n). Factor q(t).
4*(t - 12)**2*(t + 1)
Suppose -61 = 19*y - 23. Let r be 6875/(-1155) + (-14)/y. Let 32/21*a - 6/7*a**3 + 8/21 - r*a**2 = 0. Calculate a.
-2, -2/9, 1
Let a = 9 + -19. Let t(h) = h**3 + 3*h**2 - 68*h + 25. Let u be t(a). Solve -15/8*o**4 - 9/4*o**3 + 21/8*o - 3/8*o**u + 9/8 + 3/4*o**2 = 0 for o.
-3, -1, 1
Let s(g) be the second derivative of -16 + 0*g**2 + 2/35*g**5 - g - 1/21*g**4 + 0*g**3 - 2/105*g**6. Factor s(q).
-4*q**2*(q - 1)**2/7
Suppose 3*t + 3*t - 3*t = -t - 12*t. Factor 0 + 0*g**2 - 1/2*g**3 + 1/2*g**4 + t*g.
g**3*(g - 1)/2
Suppose 110 + 114 = 16*x. Let r(i) = 3*i. Let n(m) = 8*m - 3*m**2 - 1 + 2*m**2 + 0. Let a(o) = x*r(o) - 4*n(o). Suppose a(b) = 0. Calculate b.
-2, -1/2
Let c = 26 - 32. Let l be (c/21)/(99/(-77)). Determine u so that -2/9*u**2 + 0*u + 0 - l*u**3 + 2/9*u**5 + 2/9*u**4 = 0.
-1, 0, 1
Let i(k) be the second derivative of 51*k - 1/190*k**5 + 0*k**3 - 4/19*k**2 + 2 + 1/38*k**4. Solve i(a) = 0 for a.
-1, 2
Solve 101*t + 939*t - 5*t**2 + 2135 - 258*t + 243*t - 65 = 0.
-2, 207
Determine s, given that -3*s**5