(10*r + 1)**2/17
Let t(j) be the third derivative of j**6/24 - 8*j**5/15 + 23*j**4/10 - 24*j**3/5 - 15*j**2 - 7. Suppose t(h) = 0. What is h?
6/5, 4
Find q, given that 182/3*q + 2/3*q**3 - 94/3*q**2 - 30 = 0.
1, 45
Let c(u) be the third derivative of u**6/30 - 17*u**5/15 + 10*u**4 + 1305*u**2. Factor c(f).
4*f*(f - 12)*(f - 5)
Let u(k) = -9*k**4 - 81*k**3 + 306*k**2 - 216*k. Let a(l) = 6*l**4 + 54*l**3 - 204*l**2 + 144*l. Let r(b) = -8*a(b) - 5*u(b). Determine c so that r(c) = 0.
-12, 0, 1, 2
Suppose 44 = -4*t + 1980. Let c = t + -1933/4. Factor -3/4 + 3/4*m + c*m**2 - 3/4*m**3.
-3*(m - 1)**2*(m + 1)/4
Let f = -4763 - -4774. Let o(a) be the third derivative of 0*a**3 - f*a**2 - 5/6*a**4 + 0 + 0*a + 1/3*a**5 + 35/24*a**6. Factor o(s).
5*s*(5*s + 2)*(7*s - 2)
Let o(l) = -4*l - 2. Let n be o(-16). Suppose -14 = 8*i - n. Factor -2*z - 3*z**3 - 6*z**2 + 4*z + z - i*z.
-3*z*(z + 1)**2
Suppose -8*h - 4 = -20. Find f such that -6*f**3 - 47*f**3 + 16*f + 84*f**4 + f**3 - 6*f**h - 42*f**2 = 0.
-2/3, 0, 2/7, 1
Let m = 169666/5 + -33932. Find c, given that 0 - 16/5*c**2 - m*c**3 - 2*c = 0.
-5/3, -1, 0
Factor -14*v**3 - 4602 + 1144*v**2 + 9005 - 806*v - 4727.
-2*(v - 81)*(v - 1)*(7*v + 2)
Let c(i) be the first derivative of i**4/12 + 7*i**3/12 + 3*i**2/4 - 152*i + 157. Let t(b) be the first derivative of c(b). Factor t(j).
(j + 3)*(2*j + 1)/2
Suppose -6*a**2 - 40*a**2 + 504 + 81*a**2 + 64*a**2 - 363*a - 3*a**3 - 75*a = 0. Calculate a.
2, 3, 28
Let g(u) be the third derivative of u**5/100 + u**4/5 - 64*u**3/5 - 8471*u**2. Suppose g(z) = 0. Calculate z.
-16, 8
Let q(c) = 55*c**2 - 1. Let j(n) = -54*n**2 + 143*n + 143. Let r(g) = 3*j(g) + 3*q(g). Let r(x) = 0. Calculate x.
-142, -1
Let f(z) be the first derivative of z**5 - 90*z**4 + 6235*z**3/3 - 14340*z**2 - 35280*z - 732. Factor f(l).
5*(l - 49)*(l - 12)**2*(l + 1)
Let w(b) be the first derivative of 9*b**4/8 + 2*b**3 - 579*b**2/4 + 189*b - 7764. Determine h so that w(h) = 0.
-9, 2/3, 7
Let w(g) be the first derivative of g**6/540 + 7*g**5/90 + 13*g**4/36 + g**3 + 6*g**2 - 3. Let u(y) be the third derivative of w(y). Factor u(o).
2*(o + 1)*(o + 13)/3
Let p(a) = 28*a**2 + 1002*a - 1010. Let w(f) = 5*f**2 - 1. Let y(g) = p(g) - 5*w(g). Factor y(l).
3*(l - 1)*(l + 335)
Let s = -919916 + 919926. Factor 0*w + s*w**2 - 1/2*w**3 + 0.
-w**2*(w - 20)/2
Let u(l) be the second derivative of -l**6/6 + l**5/2 + 25*l**4/12 - 5*l**3 + 12*l + 16. Let u(k) = 0. Calculate k.
-2, 0, 1, 3
Let q be 2/(-10)*(-2)/(-14 - -20). Let d(s) be the first derivative of q*s**5 - 1/6*s**4 - 1/9*s**3 + 0*s - 11 + 1/3*s**2. Factor d(k).
k*(k - 2)*(k - 1)*(k + 1)/3
Solve -826*b**2 + 1016*b - 65*b**3 - 94*b**3 - 8*b**4 - 4*b**3 - 270 - 85*b**3 = 0 for b.
-27, -5, 1/2
Let o(v) be the second derivative of v**5/120 + v**4/32 - 71*v**2/2 - 10*v - 5. Let u(c) be the first derivative of o(c). Factor u(k).
k*(2*k + 3)/4
Let r(l) be the second derivative of 5/2*l**3 - 2/3*l**4 + 49*l + 0 + 15*l**2. Let v(u) = -3*u**2 + 5*u + 10. Let i(z) = -2*r(z) + 7*v(z). Factor i(b).
-5*(b - 2)*(b + 1)
Find y, given that 0 - 680*y**2 + 1/2*y**3 + 0*y = 0.
0, 1360
Suppose 2771 = 12*o - 29*o. Let i = 166 + o. Solve 3/2*b**i + 3/4*b**5 + 27/4 + 15/4*b**4 - 21/2*b**2 - 9/4*b = 0.
-3, -1, 1
Let m(q) be the first derivative of 9/2*q**4 + 162*q**2 + 324*q + 83 + 1/5*q**5 + 39*q**3. Find t such that m(t) = 0.
-6, -3
Suppose -68/3*h + 2/9*h**4 - 136/9*h**2 - 10 - 20/9*h**3 = 0. Calculate h.
-3, -1, 15
Let n = -57/21274 - -51079045/63822. Factor -98/3*d + n + 1/3*d**2.
(d - 49)**2/3
Let x(c) be the first derivative of -c**8/2940 + c**7/1470 + c**6/630 - c**5/210 - 32*c**3/3 + 62. Let i(z) be the third derivative of x(z). Factor i(q).
-4*q*(q - 1)**2*(q + 1)/7
Let q = 169734/5 + -33944. Let o(i) be the second derivative of 3/5*i**3 + 0 + q*i**2 + 1/30*i**4 + 30*i. Suppose o(h) = 0. Calculate h.
-7, -2
Suppose -82*s = -27*s - 220. Let z(k) be the first derivative of 8 - 5*k**3 + 0*k - 3/5*k**5 + 3*k**2 + 3*k**s. Solve z(g) = 0 for g.
0, 1, 2
Let t be (-20)/((8/1180)/(5/25)). Let k = t + 592. Factor 1/3*m**5 + 2/3*m**2 + k*m**3 - 7/3*m + 1 - 5/3*m**4.
(m - 3)*(m - 1)**3*(m + 1)/3
Let m(y) be the third derivative of -5/144*y**4 - 1/144*y**6 - 1/9*y**5 + 0 + 35/6*y**3 + 0*y + 32*y**2. What is s in m(s) = 0?
-7, -3, 2
Let t(v) = -v**3 + 25*v**2 - 3*v + 79. Let y be t(25). Let n(w) = -4*w + 12. Let h(g) = g**2 + 4*g - 15. Let m(u) = y*h(u) + 3*n(u). Factor m(s).
4*(s - 2)*(s + 3)
What is y in 5572*y - 5*y**2 - 1127214 + 1148*y - 1130706 = 0?
672
Factor 27*t + 0 + 51/2*t**2 - 3/2*t**3.
-3*t*(t - 18)*(t + 1)/2
Let u(q) = -49*q**2 - 192*q + 211. Let h(n) = 90*n**2 + 386*n - 421. Let z(d) = 6*h(d) + 11*u(d). Factor z(w).
(w - 1)*(w + 205)
Let a(r) be the second derivative of r**5/70 + 2*r**4/3 - 59*r**3/21 + 30*r**2/7 + 189*r - 10. What is f in a(f) = 0?
-30, 1
Let o(r) be the third derivative of r**5/100 + 4*r**4/5 - 33*r**3/10 + 2*r**2 - 51. Suppose o(z) = 0. Calculate z.
-33, 1
Let x(n) = -n**4 - n**3 - n**2 + n. Let v(i) = -19*i**4 + 4*i**2 + 33 + 7*i**3 - 28 - 5. Let d(w) = 3*v(w) - 12*x(w). Solve d(b) = 0 for b.
-2/3, 0, 2/5, 1
Let j(r) be the first derivative of 42*r**2 - 36 + 7/4*r**4 - 17*r**3 - 20*r. Factor j(f).
(f - 5)*(f - 2)*(7*f - 2)
Let v(y) be the third derivative of -y**5/60 - 121*y**4/24 + 41*y**3 + 2*y**2 - 5*y - 35. Determine r, given that v(r) = 0.
-123, 2
Let y be 33*22/4235*5/3. Let d(t) = t**3 - 7*t**2 + 5*t + 6. Let a be d(6). Factor a - 2/7*k**2 + y*k.
-2*k*(k - 1)/7
Let l = -117 - -121. Factor -o**4 + 42*o**2 - 10*o**l + 6*o**4 - 24*o**3 - 20*o + 7*o**4.
2*o*(o - 10)*(o - 1)**2
Let c(v) be the third derivative of 5*v**8/336 - v**7/6 + v**6/3 + 4*v**5/3 - 14*v**2 - 2*v. Factor c(o).
5*o**2*(o - 4)**2*(o + 1)
Suppose -75*b = -103*b + 140. Factor 5*p**3 + 1125*p**b + 1043 + 5*p**4 - 1043 + 145*p**4.
5*p**3*(15*p + 1)**2
Let d(i) be the second derivative of -i**8/6720 - i**7/1260 - i**6/720 + 37*i**4/12 + 46*i. Let t(r) be the third derivative of d(r). Factor t(q).
-q*(q + 1)**2
Let y = 26649/53378 - -20/26689. Factor y*b**3 - 25/2*b**2 + 84*b - 72.
(b - 12)**2*(b - 1)/2
Let w(h) be the third derivative of -h**7/420 - 11*h**6/120 - 39*h**5/40 + 11*h**4/6 + 121*h**3/3 - 1587*h**2. Factor w(u).
-(u - 2)*(u + 2)*(u + 11)**2/2
Factor -8*t**2 - 171*t**4 + 132*t**3 + 0*t + 0*t + 17*t**4 - 26*t**4.
-4*t**2*(3*t - 2)*(15*t - 1)
Find g such that 5198/17*g**2 + 10/17*g**4 + 0 + 1058/17*g - 458/17*g**3 = 0.
-1/5, 0, 23
Suppose 0 = -3*y - d + 5, -2*y - 6 = -5*d - 15. Determine p so that -46*p + p**2 - 2*p**y + 6*p**3 - 24 - 12*p**2 - 5*p**2 + 2*p**4 = 0.
-4, -1, 3
Let 0 - 4/5*s**4 - 48/5*s**2 - 32/5*s - 24/5*s**3 = 0. What is s?
-2, 0
Let n(v) be the third derivative of -v**8/1848 - 19*v**7/1155 - 28*v**6/165 - 148*v**5/165 - 92*v**4/33 - 16*v**3/3 - 739*v**2. Factor n(i).
-2*(i + 2)**4*(i + 11)/11
Let u(g) be the third derivative of -g**7/42 - 13*g**6/12 - 21*g**5/4 + 365*g**4/12 + 460*g**3/3 + 3295*g**2. What is b in u(b) = 0?
-23, -4, -1, 2
Suppose -309*d + 313*d - 4*y + 8 = 0, -9 = 2*d - 3*y. Find k, given that 0 + 2/7*k - 2/7*k**4 - 2/7*k**d + 2/7*k**2 = 0.
-1, 0, 1
Find a, given that -2/13*a**2 - 592/13 - 300/13*a = 0.
-148, -2
Let t be -1 - (-53)/2 - 72/48. Suppose 8 = 8*z - t. Factor 3*g**3 + 1/2*g**z - 1/2*g**5 - 3/2 + 11/2*g - 7*g**2.
-(g - 1)**4*(g + 3)/2
Let b(i) = -2*i**3 + 9*i. Let g(u) = -5*u**4 - 94*u**3 - 400*u**2 - 462*u. Let w(d) = 2*b(d) - g(d). Determine r so that w(r) = 0.
-12, -4, -2, 0
Let a(w) = -3*w**2 - 14*w - 15. Let r(j) be the third derivative of 4*j**5/15 + 23*j**4/8 + 25*j**3/2 + j**2 + 22*j. Let t(n) = -11*a(n) - 2*r(n). Factor t(s).
(s + 1)*(s + 15)
Suppose -40*r = -143*r - 125*r + 684. Factor -18/5 - 21/5*j + 21/5*j**r + 3/5*j**4 + 3*j**2.
3*(j - 1)*(j + 1)**2*(j + 6)/5
Let w(y) be the second derivative of 0 + 12*y**2 - 8/3*y**3 + 144*y + 1/6*y**4. Factor w(m).
2*(m - 6)*(m - 2)
Let y(h) be the first derivative of 4/5*h**5 - 2*h**4 + 4/3*h**3 + 0*h + 0*h**2 + 149. Determine v so that y(v) = 0.
0, 1
Let r(v) be the second derivative of -v**4/6 + 118*v**3 - 2*v + 5160. Let r(g) = 0. What is g?
0, 354
Let g(t) be the third derivative of t**7/280 + t**6/30 + 13*t**3/6 + 15*t**2 - 4. Let s(a) be the first derivative of g(a). What is l in 