- 1/3*r**4 - 1/10*r**5 + 0. Solve h(d) = 0.
-1, 0
Let w(k) be the second derivative of -k**7/21 + 13*k**6/15 - 23*k**5/10 + 11*k**4/6 + 3*k - 223. Determine t so that w(t) = 0.
0, 1, 11
Let u(l) be the first derivative of -2*l**5/45 + 2*l**4/9 + 28*l**3/27 - 4*l**2 - 10*l + 211. Find b such that u(b) = 0.
-3, -1, 3, 5
Let s = -1/47 + 101/329. Let x be ((-354)/590)/(645/125 - 6). Factor -x*z**3 + 0 - s*z - z**2.
-z*(z + 1)*(5*z + 2)/7
Suppose -13 = -3*v - b, v + 4*v = -2*b + 21. Suppose -v*n - 524 + 1644 = 0. Factor 2*q**4 - n*q + 248*q**3 - 125*q**3 - 155*q**3 + 156*q**2 + 98.
2*(q - 7)**2*(q - 1)**2
Let k(a) = 118*a - 232*a - a**2 + 115*a. Let h(j) = j**2 + j - 20. Let w be h(0). Let o(g) = -8*g**2 + 12*g - 4. Let r(x) = w*k(x) + 2*o(x). Factor r(b).
4*(b - 1)*(b + 2)
Let 16*p**5 - 16 - 16*p**3 + 32 - 15*p**5 - 16 - 15*p**4 = 0. What is p?
-1, 0, 16
Factor 16 + 7/2*x**2 + 207/5*x.
(5*x + 2)*(7*x + 80)/10
Let p(a) be the first derivative of -a**5/15 - 2*a**4 + 3*a**3 + 25*a**2/3 - 40. Factor p(g).
-g*(g - 2)*(g + 1)*(g + 25)/3
Suppose -8521*m + 560 - 8565*m + 25740*m - 8546*m + 4*m**2 = 0. What is m?
-20, -7
Let b(x) be the second derivative of 3*x**5/140 + x**4/7 - 19*x**3/14 + 3*x**2 + 4*x + 123. Factor b(t).
3*(t - 2)*(t - 1)*(t + 7)/7
Let s(m) = -7*m - 74. Let x be s(-11). Suppose 3*o = -3*c + 2*c + 6, -3*o - x*c = -12. Let 9/2*r + 2*r**2 + o = 0. Calculate r.
-2, -1/4
Let a(u) be the third derivative of -u**8/11760 - u**7/1960 - u**6/1260 - 89*u**3/6 - 57*u**2. Let z(i) be the first derivative of a(i). Factor z(t).
-t**2*(t + 1)*(t + 2)/7
Find k, given that 1/8*k**4 + 15/2*k - 7/2*k**2 + 0 - 3/8*k**3 = 0.
-5, 0, 2, 6
Let o(a) be the third derivative of a**7/210 + a**6/10 + 29*a**5/60 + 3*a**4/4 + 943*a**2. Factor o(v).
v*(v + 1)*(v + 2)*(v + 9)
Let v(g) = -192*g**4 + 3*g**3 - 111*g**2 + 57*g + 123. Let a(s) = 13*s**4 - 2*s**3 - 2*s - 1. Let t(j) = 15*a(j) + v(j). Solve t(h) = 0 for h.
-3, -1, 1, 12
Let z(w) be the second derivative of -w**4/2 + 4*w**3/3 - w**2 - 720*w. Factor z(l).
-2*(l - 1)*(3*l - 1)
Suppose 5 = -14*t - 79. Let d(y) = 5*y**3 - 21*y**2 - 33*y - 25. Let n(l) = -9*l**3 + 42*l**2 + 67*l + 49. Let j(i) = t*n(i) - 11*d(i). Factor j(z).
-(z + 1)**2*(z + 19)
Let v = 1712 + -1713. Let b(y) = y**2 + 2*y + 3. Let q be b(v). Factor -20/3*x**3 - 5*x**q + 0 - 5/6*x.
-5*x*(2*x + 1)*(4*x + 1)/6
Let k = -873129 - -4365652/5. Determine y so that 4/5*y**2 - 11/5 + k*y = 0.
-11/4, 1
Let u(h) = 5*h**2 - 5*h. Suppose -6*k + 17 = 5. Let v(t) = t + 0*t**2 + 5*t**k - 6*t. Let f(r) = 5*u(r) - 6*v(r). Factor f(n).
-5*n*(n - 1)
Let j be -1 + 2 + 19/(-19). Suppose j = -5*l + l + 24. What is p in -6*p**3 + l*p - 17 + 20 - 22*p**4 + 19*p**4 = 0?
-1, 1
Let p(c) be the second derivative of -50*c**7/21 - 38*c**6/3 - 129*c**5/5 - 73*c**4/3 - 28*c**3/3 + 2108*c. Solve p(i) = 0 for i.
-7/5, -1, -2/5, 0
Let b = -315 - -321. Let i(o) be the third derivative of 0*o - 1/1344*o**8 + 0 - 8*o**2 + 0*o**4 + 0*o**7 + 1/480*o**b + 0*o**5 + 0*o**3. Factor i(l).
-l**3*(l - 1)*(l + 1)/4
Factor 2/5*v**3 + 0 - 14*v + 4/5*v**2.
2*v*(v - 5)*(v + 7)/5
Suppose -3*r - a - 20 + 237 = 0, 3*r - 3*a - 213 = 0. Let x be 6 + 40/(-6) + 75/r. Factor -x*u**5 + 15/2*u**2 + 21/8*u**4 - 3*u - 27/4*u**3 + 0.
-3*u*(u - 2)**3*(u - 1)/8
Let p(o) = 4*o**2 - 6*o - 37. Let m be p(4). Let x(h) be the first derivative of -14 - 1/4*h**4 - 8*h - 10/3*h**m - 17/2*h**2. Factor x(c).
-(c + 1)**2*(c + 8)
Let g(y) = 5*y**2 - 1986*y + 962369. Let x(o) = 6*o**2 - 1992*o + 962371. Let m(l) = -5*g(l) + 4*x(l). Factor m(k).
-(k - 981)**2
Suppose -5*x - b + 82 = 66, 8 = 4*x - 4*b. Let h(t) be the second derivative of -5/3*t**x - 2*t**2 - 30*t + 7/6*t**4 + 0. Factor h(l).
2*(l - 1)*(7*l + 2)
Let d(x) be the second derivative of -1/195*x**6 - 5/26*x**5 - 2 - 48/13*x**3 + 0*x**2 + 56*x - 28/13*x**4. Determine c so that d(c) = 0.
-12, -1, 0
Suppose -v + 14 = -3*s, -1201*v + 1197*v = -3*s - 20. Let n(g) be the second derivative of 4/3*g**3 - 1/30*g**4 - 20*g**v + 0 + 28*g. Factor n(c).
-2*(c - 10)**2/5
Suppose 42*s + 161 = 41*s. Let m = s + 323. Let -7*z - 25*z - 6*z + 2*z**2 + m + 2*z = 0. What is z?
9
Suppose -6*b + 93 = 69. Let h(t) be the first derivative of -15/2*t**2 - 3/4*t**4 + b*t**3 + 6*t + 2. Factor h(s).
-3*(s - 2)*(s - 1)**2
Let q be -1*(0 + -32 + -1). Suppose 5*l = -2*y + q - 7, 2*l - 8 = 0. Factor 38 + 44*u**2 + 58 + 4*u**y - 13 + 17 + 140*u.
4*(u + 1)*(u + 5)**2
Let a(r) be the first derivative of -1/42*r**6 + 10/21*r**3 + 162 - 2/35*r**5 - 2/7*r**2 + 5/28*r**4 - 8/7*r. Solve a(w) = 0 for w.
-2, -1, 1, 2
Let c be 15/((-1995)/14) - (-6128)/456. Let c*y + 23/3*y**2 - 5/3*y**3 + 4 = 0. What is y?
-1, -2/5, 6
Let i(q) be the third derivative of 3/10*q**5 + 0 + q**2 + 14*q + 1/105*q**7 + 2/3*q**3 - 7/12*q**4 - 1/12*q**6. What is p in i(p) = 0?
1, 2
Suppose -b = -2*t - 4, 2*t + t = -3*b - 15. Let a be -2 + (b - -3)*(-2 + 6). Factor -4*g**a - 4 + 0 + 4*g - 13*g + g.
-4*(g + 1)**2
Suppose -7*g = 17*g - 192. Suppose 7*y - 9*y = x, 2*y + g = -3*x. Factor 6/7*p - 2/7*p**y + 0.
-2*p*(p - 3)/7
Let h(z) be the first derivative of 9/2*z**4 + 0*z - 27 + 3/5*z**5 + 9*z**3 + 6*z**2. Factor h(i).
3*i*(i + 1)**2*(i + 4)
Let n(w) be the second derivative of 29*w**5/90 - 233*w**4/54 - 253*w**3/27 + w**2 + 18*w + 18. Solve n(z) = 0.
-1, 1/29, 9
Let b(k) be the second derivative of -k**5/4 - 65*k**4/12 - 10*k**3 + 118*k. Factor b(z).
-5*z*(z + 1)*(z + 12)
Factor 7775782 - 7775782 + 170*p + 180*p**3 + 5*p**4 + 345*p**2.
5*p*(p + 1)**2*(p + 34)
Suppose -3*n - 2 + 14 = 0. Suppose -63 = 153*w - 184*w + 30. Suppose -16*q**4 + n*q**4 - 237*q**5 - 39*q**w + 246*q**5 - 18*q**2 = 0. What is q?
-1, -2/3, 0, 3
Suppose -1882*k - 1884*k + 342 = -3688*k + 30. Determine h, given that -39/4*h**2 - 1/8*h**4 + 16 + 17/8*h**3 + k*h = 0.
-1, 2, 8
Let s(v) be the first derivative of v**4/18 - 88*v**3/27 + 164*v**2/9 - 320*v/9 + 3568. Solve s(r) = 0.
2, 40
Let y(s) = 5*s**2 + 260*s + 1180. Let f(k) = -2*k - 2. Let c(p) = -20*f(p) - y(p). Factor c(v).
-5*(v + 6)*(v + 38)
Factor 4*n**3 + 7*n**3 + 957*n**2 - 1382*n + 902*n - 5*n**3.
3*n*(n + 160)*(2*n - 1)
Let j(l) = 5*l**4 + 2*l**3 + l**2 + l. Let u(y) = -18*y**4 - 12*y**3 + 36*y**2 - 33*y. Let a(x) = 3*j(x) + u(x). Factor a(t).
-3*t*(t - 2)*(t - 1)*(t + 5)
Let b(a) be the first derivative of -3/2*a**2 + 0*a - 37 - 1/4*a**4 - 4/3*a**3. Solve b(d) = 0.
-3, -1, 0
Let 6*q**2 + 9/2*q - 81/2 = 0. Calculate q.
-3, 9/4
Let s(q) = q**5 - q**4 - q**3 + 1. Let a(w) = -11*w**5 - 59*w**4 + 79*w**3 + 373*w**2 - 464*w + 82. Let o(m) = 5*a(m) + 10*s(m). Suppose o(n) = 0. What is n?
-7, -3, 2/9, 1, 2
Let o(i) be the second derivative of i**6/150 - 123*i**5/50 + 14881*i**4/60 + 5084*i**3/5 + 7688*i**2/5 + 46*i - 56. Suppose o(g) = 0. What is g?
-1, 124
Let t(y) be the first derivative of 92 + 2/7*y**3 + 0*y + 0*y**2 - 1/28*y**4. Suppose t(x) = 0. Calculate x.
0, 6
Let k(u) = -u + 6. Let p(s) = -8*s**2 + 2904*s - 668. Let t(j) = 10*k(j) - p(j). Factor t(h).
2*(h - 364)*(4*h - 1)
Suppose 2*u = 4*k - 390, -14*k + 13*k + u = -99. Let c be (-8)/6 - ((-152)/k)/1. Factor g**2 - 3/2*g**3 - 1/4*g**5 - c*g + 0 + g**4.
-g*(g - 1)**4/4
Let p be (12/21)/(2 + 60/(-35)). Let l = 98/15 + -31/5. Factor l*b**p + 2/3*b - 1/3*b**3 + 0.
-b*(b - 2)*(b + 1)/3
Let m(j) = 13*j**2 - 8*j + 67. Let z be m(7). Factor 11*r - 212*r**4 - 191*r + 388*r**2 + 216*r**4 - 76*r**3 - z.
4*(r - 9)**2*(r - 2)*(r + 1)
Let k(u) be the second derivative of u**6/6 + 5*u**5 + 95*u**4/2 + 90*u**3 - 1215*u**2/2 + 687*u. Factor k(r).
5*(r - 1)*(r + 3)*(r + 9)**2
Let z = -2715 - -5239. Let x = 2527 - z. Factor -w**2 + 1/2 + 1/2*w**4 + 1/2*w**5 - w**x + 1/2*w.
(w - 1)**2*(w + 1)**3/2
Find h, given that 2856*h + 1615*h + 1117*h + 228484*h**2 + 4 - 7500*h = 0.
1/239
Suppose 16*m - 230 = -7*m. Solve 10*v**5 + 415 + 15*v**4 - 415 - m*v**2 - 15*v**3 = 0 for v.
-2, -1/2, 0, 1
Let r = -841 - -841. Suppose 5*t + r = -0. Solve -2*c**2 + t*c + 2*c**4 - 2/3*c**3 + 0 + 2/3*c**5 = 0 for c.
-3, -1, 0, 1
Let u = 133876 + -935122/7. Let c = u - 286. Find a such that -2/7*a**2 + c*a - 6/7 = 0.
1, 3
Let i be (1*-1)/(1/(-1))*0. Suppose 4*x = i, -m - 4*x + 533 = -0*m. Factor -m*h**3 + 573*h**3 + 1 - 19*h + 19*h**2 + 1.
(h + 1)*(5*h - 2)*(8*h - 1)
Let v(b) be the first derivati