 + 5*x**2 - 89. Solve z(f) = 0.
-4, -1, -2/9, 1, 7
Suppose 45*c = 57*c - 192. Suppose 3*l + l + c = 4*u, 8 = 2*u. Determine i, given that 1/5*i - 1/5*i**3 + 0*i**2 + l = 0.
-1, 0, 1
Let a(k) be the third derivative of 0*k**5 + 0*k + 13/735*k**7 + 0 - 1/42*k**6 - 188*k**2 + 0*k**4 + 1/392*k**8 + 0*k**3. Factor a(u).
2*u**3*(u + 5)*(3*u - 2)/7
Let q = -728977 + 728980. Suppose 4*m - 4*d = 12, -4*m - 13 = -8*m + 3*d. Factor 0 + 2/5*v**2 + 2/5*v - 2/5*v**q - 2/5*v**m.
-2*v*(v - 1)*(v + 1)**2/5
Let a be 8 - 28/(74 - -38)*(17 + -1). Determine k so that 13/6*k + 1/6*k**3 - a + 5/3*k**2 = 0.
-8, -3, 1
Let d(q) be the third derivative of q**6/12 + 26*q**5/15 + 5*q**4/3 + 2044*q**2. Determine t, given that d(t) = 0.
-10, -2/5, 0
Let d(v) be the third derivative of -28/5*v**5 + 0 + 0*v - 1/105*v**7 - 136/3*v**4 - 11/30*v**6 - 640/3*v**3 - 221*v**2. Factor d(q).
-2*(q + 4)**3*(q + 10)
Let q(r) be the second derivative of 8 + r + 54*r**3 + 6561*r**2 + 1/6*r**4. Factor q(d).
2*(d + 81)**2
Let g(d) be the second derivative of -5*d**4/12 - 50*d**3/3 - 495*d**2/2 - 1298*d. Factor g(t).
-5*(t + 9)*(t + 11)
Let n(q) = -2*q**2 - 71*q - 94. Let x be n(-34). Suppose 58*w - 53*w + 20 = 4*b, -3*b = 2*w + x. Let b - 4/3*p**3 + 2/9*p**4 + 0*p + 10/9*p**2 = 0. What is p?
0, 1, 5
Let h be (14/(-4) + -1)*(-8)/2. Factor -6*s**3 - s**2 + 7 + h + 2*s**3 + 152*s - 52*s.
-(s - 5)*(s + 5)*(4*s + 1)
Let k(v) = -5*v**2 + 42*v - 62. Let q(b) be the second derivative of -5*b**4/12 + 43*b**3/6 - 63*b**2/2 + 11*b. Let j(z) = -3*k(z) + 2*q(z). Factor j(i).
5*(i - 6)*(i - 2)
What is j in 34/13*j + 42/13 + 4/13*j**4 + 14/13*j**3 - 94/13*j**2 = 0?
-7, -1/2, 1, 3
Find t such that 48*t**4 + 72*t + 180*t**2 - 185 + 119*t**3 - 64*t + 71*t**3 - 43*t**4 - 198*t = 0.
-37, -1, 1
Let p(s) be the first derivative of -s**2 + 0*s**3 + 1/6*s**4 + 4/3*s + 9. Factor p(v).
2*(v - 1)**2*(v + 2)/3
Factor 11*w**2 - 32*w**2 + 460 + 11*w**2 + 5*w**2 - 141*w - 314*w.
-5*(w - 1)*(w + 92)
Let g(w) be the second derivative of 0 - 35/4*w**4 + 0*w**2 + 0*w**3 + 15*w + 1/4*w**5. Factor g(v).
5*v**2*(v - 21)
Let y(c) be the second derivative of -c**6/288 - c**5/12 + 25*c**4/24 + 13*c**3/6 - 2*c**2 + 52*c. Let k(o) be the second derivative of y(o). Factor k(u).
-5*(u - 2)*(u + 10)/4
Let m(l) = -2*l**2 + 32*l + 55. Let p be m(15). Solve p*a**2 + 81 - 84*a**2 + 53*a - 71*a = 0.
9
Let k be (-22)/264*40*-2*3. Let m be 2/k*198*40/84. Factor -2/7*h**5 - 32/7*h - m*h**3 + 20/7*h**4 + 80/7*h**2 + 0.
-2*h*(h - 4)**2*(h - 1)**2/7
Let v(y) be the first derivative of y**4/20 + 6*y**3/5 + 13*y**2/2 + 3642. Factor v(r).
r*(r + 5)*(r + 13)/5
Let p(m) be the third derivative of 5*m**8/2352 - 12*m**7/245 + 81*m**6/280 - 59*m**5/105 + 5*m**4/14 - 60*m**2 + 7*m. Let p(t) = 0. Calculate t.
0, 2/5, 1, 3, 10
Let t(q) be the third derivative of q**8/10080 + 13*q**7/2520 + 13*q**5/12 + 2*q**2 - 2. Let s(x) be the third derivative of t(x). Factor s(r).
2*r*(r + 13)
Let q(u) = u**2 + u. Let n(c) = 7*c + 6. Let x(y) = n(y) + q(y). Let t be x(-8). Find j such that -2*j**3 - 3*j**4 - j**3 + t*j**3 = 0.
0, 1
Let o(x) be the third derivative of x**5/15 + 17*x**4/6 + 28*x**3 + 4*x**2 - 30. Factor o(k).
4*(k + 3)*(k + 14)
Let v(f) be the first derivative of -2*f**3 - 3/2*f - 1/10*f**5 - 5/2*f**2 - 3/4*f**4 - 62. Factor v(i).
-(i + 1)**3*(i + 3)/2
Let a(k) be the third derivative of -3/10*k**6 + 4/35*k**7 - 2*k - 1/84*k**8 + 0 + 0*k**3 + 33*k**2 + 4/15*k**5 + 0*k**4. Factor a(d).
-4*d**2*(d - 4)*(d - 1)**2
Let i(r) = -4*r + 26. Let o be i(10). Let a be (-48)/(-21) - (-4)/o. Factor -a*w**5 - 85*w**3 + 40*w**3 + 10*w**4 + 29*w**3 + 8*w**2.
-2*w**2*(w - 2)**2*(w - 1)
Suppose 4*l = -l. Suppose -10*m + 18 = -5*p - 8*m, -4*p = 19*m - 171. Factor 4/7*r**4 + 0*r + p + l*r**3 - 2/7*r**5 + 0*r**2.
-2*r**4*(r - 2)/7
Let b be (2442/4)/(56/112). Let o = -1219 + b. Factor -1/6*i**o - 1/3*i + 4/3.
-(i - 2)*(i + 4)/6
Let s = -3 + 5. Suppose -a + 0*a = -s. Solve 9*x**2 - 12 - a*x**3 + 5*x**3 + 21*x - 21*x = 0.
-2, 1
Factor -1/4*f**4 + f**3 + 3/4 - f - 1/2*f**2.
-(f - 3)*(f - 1)**2*(f + 1)/4
Let h(w) = 11*w**2 + 87*w - 92. Let l(t) = 62*t**2 + 524*t - 552. Let d(q) = 34*h(q) - 6*l(q). Factor d(v).
2*(v - 92)*(v - 1)
Factor 437/10*f**2 + 439/10 + 1/10*f**3 - 877/10*f.
(f - 1)**2*(f + 439)/10
Let n(f) be the third derivative of f**8/252 - 8*f**7/105 + 8*f**6/15 - 64*f**5/45 - 20*f**2 - 13*f. Find o such that n(o) = 0.
0, 4
Let f be (1 - 1) + -1*11. Let b(m) = 419*m - 10469. Let o be b(25). Let a(h) = -h**2 - 6. Let r(v) = -2*v**2 - 11. Let q(l) = f*a(l) + o*r(l). Factor q(n).
-n**2
Solve -19*t**2 + 12*t**2 + 33 + 157 + 90*t**3 - 85*t**3 - 183*t**2 - 5*t = 0 for t.
-1, 1, 38
Suppose -1163*o + 2381*o - 70 - 32 = 1167*o. Let -2/17*c**o - 78/17*c + 0 = 0. What is c?
-39, 0
Let d(v) be the second derivative of -81225*v**5/4 - 475*v**4 - 10*v**3/3 - 51*v + 38. Suppose d(s) = 0. Calculate s.
-2/285, 0
Let d(j) be the third derivative of -j**6/120 - 35*j**5/4 - 23229*j**4/8 - 68121*j**3/2 + 50*j**2 + 2*j + 21. Factor d(c).
-(c + 3)*(c + 261)**2
Let k(n) = -352*n - 4573. Let j be k(-13). Suppose -134/5*z**2 - 156/5*z - 72/5 - 12/5*z**4 - 1/5*z**5 - 57/5*z**j = 0. What is z?
-3, -2
Solve -1731*y**4 - 3156*y - 1174 + 1704*y**4 + 238 - 875*y**3 + 56*y**3 - 3162*y**2 = 0.
-26, -3, -2/3
Let d(g) = g**2 + 16*g - 47. Let m be d(3). Let n be m/(-4)*(-22 + 20). Let 0*y**2 + 0*y + 2*y**3 + 0 + 7/3*y**4 - y**n = 0. Calculate y.
-2/3, 0, 3
Suppose 124*g - 103*g + 147 = 0. Let k be -3*g/35*5. Let -7/3*y**2 - 2/3*y + 1/3 - 4/3*y**k = 0. What is y?
-1, 1/4
Let z(q) be the second derivative of -161*q - 1/60*q**4 - 43/10*q**2 + 22/15*q**3 + 0. Factor z(f).
-(f - 43)*(f - 1)/5
Let u = 72/17 - 415/102. Let q(v) be the third derivative of -v**5 + 0*v + 7*v**2 - 10/3*v**3 - 25/8*v**4 + 0 + u*v**6. Factor q(h).
5*(h - 4)*(2*h + 1)**2
Determine m so that -452767626 + 1545282*m + 2/3*m**3 - 1758*m**2 = 0.
879
Find k such that -46/3 - 1/3*k**3 + 46/3*k**2 + 1/3*k = 0.
-1, 1, 46
Let u(n) be the first derivative of n**5/50 + 22*n**4/15 + 484*n**3/15 - 251*n + 179. Let j(f) be the first derivative of u(f). Solve j(b) = 0 for b.
-22, 0
Determine r so that -1/5*r**2 - 9/5 - 2*r = 0.
-9, -1
Suppose -382*t = 53 - 817. What is h in 0 - 4*h - 10/7*h**t + 2/7*h**3 = 0?
-2, 0, 7
Let i(v) be the first derivative of -v**6/1440 - v**5/24 - 46*v**3/3 - 2*v - 288. Let y(f) be the third derivative of i(f). Let y(g) = 0. Calculate g.
-20, 0
Let z(t) = -t**4 - 2*t**2 - t - 1. Let l(r) = 9*r**4 - 111*r**3 - 279*r**2 + 123*r + 318. Let v(k) = -l(k) - 12*z(k). Suppose v(m) = 0. Calculate m.
-34, -3, -1, 1
Suppose 4*i = -k + 42, -2*k - 83*i + 14 = -82*i. Let -1/3*w**k + 2/3 + 1/3*w = 0. What is w?
-1, 2
Suppose -232*m + 2785 + 1459 = 532. Factor 2/3*p**3 + 40/3 + m*p + 6*p**2.
2*(p + 2)**2*(p + 5)/3
Let t = -653 + 559. Let y be 1*t/(-40) - 11/110. Determine z so that 3/4*z**2 + 0 + y*z = 0.
-3, 0
Suppose 0*g - w = -4*g + 14, 2*g - 4*w = 28. Factor -1/4*m**g + 7/4*m + 2.
-(m - 8)*(m + 1)/4
Determine w so that -39/5*w**3 - 3/5*w**4 + 0 + 87/5*w**2 - 9*w = 0.
-15, 0, 1
Let j = -636 - -617. Let l be (j/38)/(3/(-18)). Factor -1/2*y**l + 0*y**2 + 3/2*y + 1.
-(y - 2)*(y + 1)**2/2
Let a(f) be the first derivative of -f**6/120 - 7*f**5/40 - 5*f**4/4 + 8*f**3/3 + 7*f + 63. Let q(l) be the third derivative of a(l). Factor q(n).
-3*(n + 2)*(n + 5)
Let r(n) = n**2 + 305*n - 3471. Let c be r(11). Factor -5/6*v**2 + 25/6*v + c.
-5*(v - 6)*(v + 1)/6
Let w = 230707/42 + -5493. Let g(m) be the third derivative of 0*m**3 + 0*m - 1/6*m**6 - 5/12*m**4 - 7*m**2 + 0 + w*m**7 + 5/12*m**5. Factor g(d).
5*d*(d - 2)*(d - 1)**2
Let i(k) = -k**3 + 6*k**2 + 25*k - 148. Suppose -12*x = 81 - 153. Let h be i(x). Factor 0 + 1/3*a**h + a.
a*(a + 3)/3
Suppose -4*o + 3 = -9. Let u(j) = 6*j**2 + 3*j + 3. Let c be u(-1). Find x such that -c*x**3 + 4*x**4 - 6*x**4 + 10*x**o = 0.
0, 2
Let m(j) = -7*j**2 - 8*j + 14. Let s(x) = 13*x**2 + 15*x - 27. Suppose 2*q + 10 = -2. Let c(i) = q*s(i) - 11*m(i). Factor c(u).
-(u - 2)*(u + 4)
Let -4*u**4 - u**5 - 3*u**5 + 7154*u**2 + 24*u - 7102*u**2 + 28*u**3 = 0. What is u?
-2, -1, 0, 3
Suppose -q - 6*q = -4*q + r - 15, 4*r = -12. Factor 0*z**2 + q*z - 1/2*z**3 + 8.
-(z - 4)*(z + 2)**2/2
Determine n, given that 0 - 40/11*n**