-2, -4/13
Factor 28884/5*k + 3/5*k**5 - 13074/5*k**2 - 20184/5 + 156/5*k**4 + 303*k**3.
3*(k - 2)**3*(k + 29)**2/5
Suppose 12*s - 43 + 34 = 51. Find y, given that -2/7*y**4 + 0*y + 2/7*y**3 + 0 - 2/7*y**s + 2/7*y**2 = 0.
-1, 0, 1
Suppose -621*g - 1047 = -2064*g + 1839. Factor -2/7*s**5 + 92/7*s**g - 66/7*s - 60/7*s**3 + 18/7 + 18/7*s**4.
-2*(s - 3)**2*(s - 1)**3/7
Let s(a) be the second derivative of a**5/90 + 2*a**4/9 - 181*a**3/27 + 56*a**2/3 - 1758*a. Let s(m) = 0. Calculate m.
-21, 1, 8
Let g(k) be the third derivative of k**6/140 - 13*k**5/35 + 25*k**4/28 - 1116*k**2. Factor g(r).
6*r*(r - 25)*(r - 1)/7
Let m(p) be the first derivative of -p**4/10 + 362*p**3/15 - 1656*p**2 + 3240*p + 9667. Find r, given that m(r) = 0.
1, 90
Let n(v) be the first derivative of v**5/140 + v**4/28 + 18*v**2 + 92. Let w(r) be the second derivative of n(r). Find s such that w(s) = 0.
-2, 0
Let o(q) be the first derivative of -q**3 - 255*q**2 - 507*q - 338. Factor o(j).
-3*(j + 1)*(j + 169)
Let c(m) be the third derivative of -m**8/84 + 4*m**7/5 - 397*m**6/30 - 308*m**5/5 - 242*m**4/3 - 109*m**2 + 3. Find f such that c(f) = 0.
-1, 0, 22
Factor 2/5*a**2 + 18592802/5 - 12196/5*a.
2*(a - 3049)**2/5
Let j(r) = 61*r - 328. Let a be j(-6). Let f = 698 + a. Factor -2/3*y**2 - 16/3 - f*y.
-2*(y + 2)*(y + 4)/3
Let g(p) be the first derivative of -5*p**6/3 + 16*p**5/5 + 32*p**4 + 188*p**3/3 + 53*p**2 + 20*p - 988. Let g(s) = 0. What is s?
-1, -2/5, 5
Let 4*h**2 - 2269869 - 118*h + 26*h + 2270277 = 0. What is h?
6, 17
Let t(f) be the third derivative of f**6/420 - 11*f**5/210 + 31*f**4/84 - f**3 + 9303*f**2. Factor t(v).
2*(v - 7)*(v - 3)*(v - 1)/7
Let z(r) be the third derivative of r**5/36 + 275*r**4/72 - 140*r**3/9 - 320*r**2. What is n in z(n) = 0?
-56, 1
Let l = -26/35253 - -6769070/669807. Find m such that -l + 4/19*m**2 - 64/19*m + 2/19*m**3 = 0.
-4, 6
Let l(b) be the first derivative of -48*b + 4/5*b**5 - 6*b**4 + 12 + 12*b**3 + 8*b**2. Factor l(x).
4*(x - 3)*(x - 2)**2*(x + 1)
Let q(i) be the second derivative of -5/6*i**3 - 5/12*i**4 + 5/2*i**2 + 70*i + 0 + 1/4*i**5. Suppose q(h) = 0. What is h?
-1, 1
Let s be (372/(-434))/((-1020)/952). Suppose 0 - 2/5*c - 2/5*c**3 - s*c**2 = 0. Calculate c.
-1, 0
Let k be (8 + (-2476)/14)/((-20)/(-56)). Let b = k + 474. Factor -b*h - 3/5*h**4 + 3/5*h**2 + 6/5*h**3 + 0.
-3*h*(h - 2)*(h - 1)*(h + 1)/5
Let k = 8673 - 8671. Let w(p) be the first derivative of 1/4*p**3 + 0*p + 3/8*p**k + 28. Factor w(q).
3*q*(q + 1)/4
Suppose -147*u = -152*u. Suppose 19*a + 21*a = u. Factor -2/3*j**3 - 2/3*j**2 + 0 + a*j.
-2*j**2*(j + 1)/3
Let o(w) be the second derivative of w**6/75 - 21*w**5/25 + 41*w**4/30 - 7768*w. Factor o(b).
2*b**2*(b - 41)*(b - 1)/5
Let x = 83032 + -1245418/15. Suppose 38/15*v**3 + 208/15*v**4 - 2/15 - x*v**2 - 32/3*v**5 - 22/15*v = 0. What is v?
-1/4, -1/5, 1
Suppose 42/11*h**4 + 2232/11*h - 5196/11*h**2 + 1104/11 + 1818/11*h**3 = 0. Calculate h.
-46, -2/7, 1, 2
Let a(v) be the second derivative of -v**5/150 - 4*v**4/5 - 189*v**3/5 - 4374*v**2/5 - 2178*v. Factor a(m).
-2*(m + 18)*(m + 27)**2/15
Let v(n) = 3 - 15 - n + 5 + 8. Let z(r) = 3*r**2 - 117*r + 1314. Let u(f) = 9*v(f) + z(f). Solve u(j) = 0.
21
Let j = 657871 + -655843. Factor j*i + 0 + 4/3*i**3 - 104*i**2.
4*i*(i - 39)**2/3
Let l = 16341 + -32681/2. Let g(n) be the second derivative of 0 + 0*n**2 + 9*n - n**3 - 3/40*n**5 - l*n**4. Factor g(h).
-3*h*(h + 2)**2/2
Suppose -599 = -16*j - 119. Suppose -j*m + 18 = -21*m. Determine y, given that 2/9*y**3 + 4/9 - 2/9*y**4 - 10/9*y + 2/3*y**m = 0.
-2, 1
Let b(a) be the first derivative of 62/21*a**3 - 99 - 4/7*a**2 - 4*a**4 - 32/35*a**5 + 0*a. Factor b(z).
-2*z*(z + 4)*(4*z - 1)**2/7
Let k(l) = -1. Let b(c) = 18 + 34*c**2 - 17*c**2 - 32*c - 13*c**2. Let h(t) = b(t) - 10*k(t). Factor h(d).
4*(d - 7)*(d - 1)
Let g(b) = -17*b - 67. Let i be g(-13). Let m be (-4)/14 - (-660)/i. Factor 36 + 44*z**2 + 32*z + 8*z + 36*z + m*z**3.
4*(z + 1)**2*(z + 9)
Suppose 12 = -62*d + 260. Let h(p) be the second derivative of 15/2*p**2 - 5/4*p**5 + 0 - 5/4*p**d + 25/6*p**3 - 7*p. Find o such that h(o) = 0.
-1, -3/5, 1
Let m(q) be the third derivative of 0*q - 1/120*q**6 + 35/6*q**3 - 1/8*q**5 + 0 + 0*q**4 + 38*q**2. Let r(z) be the first derivative of m(z). Factor r(l).
-3*l*(l + 5)
Let p(n) be the first derivative of -13*n**6/3 - 304*n**5/5 - 303*n**4/2 + 320*n**3/3 + 452*n**2 - 288*n - 4971. Let p(t) = 0. Calculate t.
-9, -2, 4/13, 1
Let a(u) be the first derivative of u**4/4 - 11*u**3/3 - 6*u**2 + 4*u + 21. Let h be a(12). Suppose -584 + 584 + 28*v + h*v**2 = 0. Calculate v.
-7, 0
Let m(h) be the first derivative of -1/45*h**6 + 2/5*h**5 - 15 + 0*h**2 + 0*h + 98/45*h**3 - 21/10*h**4. Factor m(p).
-2*p**2*(p - 7)**2*(p - 1)/15
Factor 15/2*r - 3/4*r**2 + 117/4.
-3*(r - 13)*(r + 3)/4
Let g be (11 - (11 + (12 - 10)))*(1 + -2). Find m such that 1/6 + 1/2*m**g + 1/6*m**3 + 1/2*m = 0.
-1
Let n(v) be the second derivative of 1/60*v**4 - 1/2*v**3 + 13/5*v**2 - 13 + 4*v. Factor n(y).
(y - 13)*(y - 2)/5
Suppose 13*r + 192 = 19*r. Solve 12*j - r*j - 51 + j**2 - 2 + j**2 + 5 = 0.
-2, 12
Let f(j) = -4*j**2 - 4*j + 2. Let h(m) = 5*m**2 + 6*m - 2. Let q = 201 - 198. Let v(w) = q*f(w) + 2*h(w). Factor v(r).
-2*(r - 1)*(r + 1)
Suppose -509 = -7*n + 65. Let d be 1904/210 + -9 + n/120. Solve -5/4*o**3 + 5/4*o - 1/4*o**2 + d*o**4 - 1/2 = 0 for o.
-1, 2/3, 1
Suppose -7*d + 51 - 2 = 0. Suppose -d*l - 4 = -18. Let -3*g - 2*g**2 - 15*g**4 + 1 + 40*g**4 + 7*g**3 - 19*g**4 - g**l = 0. What is g?
-1, 1/3, 1/2
Let o(w) be the second derivative of 0 - 37/2*w**3 - 54*w + 7/4*w**4 + 15*w**2. Factor o(v).
3*(v - 5)*(7*v - 2)
Find q such that -671/2*q**2 - 223/2*q**3 - 1/2*q**5 - 29/2*q**4 - 428*q - 190 = 0.
-19, -5, -2, -1
Let p = -37 + 64. Suppose p = 3*c + 3*g, -5*c + c - 2*g = -30. Solve -c*k**3 + k**2 + 3*k**4 - k**2 + 11*k**5 - 8*k**5 = 0 for k.
-2, 0, 1
Let l(n) be the second derivative of n**5/60 - 7*n**4/12 - 7*n**3 - 52*n**2/3 + 4511*n. Factor l(r).
(r - 26)*(r + 1)*(r + 4)/3
Suppose -36950 = -1473*f - 32531. Factor -f*u + 3/4*u**2 - 15/4.
3*(u - 5)*(u + 1)/4
Suppose -246*d**2 + d**3 + 236*d**2 + 2*d + 14*d = 0. Calculate d.
0, 2, 8
Let s(k) be the first derivative of -k**4/4 + 17*k**3/3 - 22*k**2 + 28*k + 1119. Factor s(b).
-(b - 14)*(b - 2)*(b - 1)
Let x(f) be the second derivative of 85*f - 2/63*f**7 - 2*f**3 + 0 + 4/3*f**2 - 1/30*f**6 + 5/12*f**5 + 5/18*f**4. Find m, given that x(m) = 0.
-2, 1/4, 1, 2
Determine q so that -8/13 - 2/13*q**2 - 8/13*q = 0.
-2
Let z = -6549 - -32623/5. Let f = z - -371/15. Factor -1/3*i + f*i**3 - 2/3 + 2/3*i**2.
(i - 1)*(i + 1)*(i + 2)/3
Suppose -48*z**2 - 14*z**2 + 396 + 245*z + 4*z**3 + 7*z - 78*z**2 = 0. What is z?
-1, 3, 33
Let o be (-330)/(-88) - (7/4 - 2). Suppose 21*d**4 + 48*d**3 - 3*d**5 + 24*d**o - 53 + 53 = 0. Calculate d.
-1, 0, 16
Let q(f) be the third derivative of 1/14*f**5 + 1/735*f**7 - 2/21*f**4 - 14*f**2 - 16/21*f**3 + 0*f + 0 + 2/105*f**6. Suppose q(g) = 0. What is g?
-4, -1, 1
Let v(p) be the second derivative of -9/20*p**5 + 0*p**3 - 56*p + 0 + 0*p**4 + 1/14*p**7 - 1/5*p**6 + 0*p**2. Factor v(b).
3*b**3*(b - 3)*(b + 1)
Let b(s) = -226*s**2 + 2*s - 2. Let h(k) = 224*k**2 - k + 3. Suppose 12*x - 57 = -21. Let v(m) = x*b(m) + 2*h(m). Let v(j) = 0. Calculate j.
0, 2/115
Suppose 58*n - 49*n = 72. Let z(g) = -6*g**3 + 14*g**2 + 76*g - 144. Let o(i) = -4*i**3 + 9*i**2 + 51*i - 96. Let b(v) = n*o(v) - 5*z(v). Factor b(j).
-2*(j - 3)*(j - 2)*(j + 4)
Let d(b) be the third derivative of 5*b**6/84 + 4*b**5/21 + 11*b**4/84 - 4*b**3/21 + 2694*b**2. Solve d(u) = 0 for u.
-1, -4/5, 1/5
Let j(r) = -r - 10. Let d(z) = -1. Let c(p) = -3*d(p) + j(p). Let o be c(-26). Factor -29*t**3 + 54*t**3 - o*t**3 + 2*t**4 + 2*t + 6*t**2.
2*t*(t + 1)**3
Suppose 0 = 2*f - v + 35, -5*f - 80 = -0*v - 5*v. Let b(m) = m**2 + 19*m + 4. Let s be b(f). Factor -14 + 5*w**2 + 10 - 15*w + s.
5*w*(w - 3)
Suppose 5*h = 3*g - 7, -4*h - 5*g = -23 - 1. Let y be 0 - (-7 + 4)*h. Factor -21*u - 20 - 2*u**2 - y*u**2 + u.
-5*(u + 2)**2
Let q(r) = 9*r**2 + 35*r + 50. Let v(b) be the second derivative of 17*b**4/12 + 35*b**3/3 + 50*b**2 + b + 8. Let c(l) = -7*q(l) + 4*v(l). Factor c(w).
5*(w + 2)*(w + 5)
Let y(q) = -2*q + 18. Suppose -38*s = -36*s - 14. Let v