**3 + 14*q**3 + q**3 + 6*q**b - 5*q**3.
2*q**2*(q + 1)*(q + 3)
Suppose 1070*t**5 + 63*t**2 - 2149*t**5 + 47*t**3 - 15*t**4 + 1080*t**5 = 0. What is t?
-1, 0, 7, 9
Let y(o) be the second derivative of -1/8*o**4 + 0 + 1/80*o**5 - 1/24*o**3 + 3/4*o**2 - 91*o. Factor y(u).
(u - 6)*(u - 1)*(u + 1)/4
Let m(b) be the second derivative of b**4/3 - 1184*b**3/3 + 175232*b**2 - 3*b - 16. Solve m(s) = 0.
296
Suppose -16*c + 11*c + 15 = 0. Suppose -3*t - 3*b = -30, 5*b = 2*t + c*t. Solve -108*s**2 - 5*s + 5*s**3 + 113*s**2 + t*s = 0.
-1, 0
Let t = -504410 + 504413. Let q + 6/7 + 0*q**2 - 1/7*q**t = 0. What is q?
-2, -1, 3
Let m be 2/(-4) - (-665)/570. Let a(x) be the second derivative of 1/6*x**4 + 0*x**2 + 0 - 1/10*x**5 - 11*x + m*x**3. Factor a(n).
-2*n*(n - 2)*(n + 1)
Let y(b) be the first derivative of 3*b**4 + 88*b**3/3 - 114*b**2 - 432*b + 3676. Factor y(s).
4*(s - 3)*(s + 9)*(3*s + 4)
Let m(r) = 3*r**2 - 72. Let y be m(-11). Let j = y + -287. Factor 12/7*z**3 + 16/7*z - 2/7*z**j - 24/7*z**2 + 0.
-2*z*(z - 2)**3/7
Let p(l) = -4*l + 3*l**3 - l**2 - 3*l - l. Let f be -5*(64/(-20))/(-8). Let m(h) = 48*h**3 - 15*h**2 - 129*h. Let q(i) = f*m(i) + 33*p(i). Factor q(s).
3*s*(s - 2)*(s + 1)
Factor -3527*d + 49*d**4 + 20*d**4 - 18060*d**2 + 351*d**4 - 5*d**5 - 8390*d**3 - 5718*d.
-5*d*(d - 43)**2*(d + 1)**2
Factor 117 + 129 - 859*y + 467*y + 509*y - 3*y**2.
-3*(y - 41)*(y + 2)
Suppose -2*k + 4*u = 6, -207*u + 208*u = -17*k + 54. Factor -260642/5 - 2/5*t**4 - 152/5*t**k - 54872/5*t - 4332/5*t**2.
-2*(t + 19)**4/5
Factor 3/2*x**3 - 324*x + 0 - 645/2*x**2.
3*x*(x - 216)*(x + 1)/2
Let i be ((-34332)/(-78))/(2/10*-2). Let c = i - -1101. Factor -c - 2/13*q**2 - 10/13*q.
-2*(q + 1)*(q + 4)/13
Let a(z) be the third derivative of -z**5/20 - 21*z**4/4 - 185*z**3/2 - 958*z**2. What is y in a(y) = 0?
-37, -5
Suppose -5*t + 2*a = -6, 0 = -17*a + 20*a - 6. Suppose -3*v**5 - 55 + 4*v**3 + 6*v**4 - 5*v**t + 61 + 2*v**3 - 3*v - 7*v**2 = 0. Calculate v.
-1, 1, 2
Suppose -169 + 109 = -20*o. Let w(m) be the first derivative of -9/5*m**5 + 9/14*m**6 + 0*m + 12/7*m**4 + 4 + 0*m**2 - 4/7*m**o. Let w(s) = 0. What is s?
0, 2/3, 1
Let w(y) be the second derivative of y**5/48 - 53*y**4/96 - 11*y**3/12 - 50*y**2 + 105*y. Let t(p) be the first derivative of w(p). Suppose t(u) = 0. What is u?
-2/5, 11
Let i(x) be the first derivative of x**4/18 - 34*x**3/3 - 103*x**2/3 - 310*x/9 - 1148. Factor i(m).
2*(m - 155)*(m + 1)**2/9
Factor 44*l**2 + 0*l + 4*l**3 + 76*l + 60*l**2 - 600.
4*(l - 2)*(l + 3)*(l + 25)
Find m such that 3*m + 3*m + 17*m - 3*m + 0*m**3 + 12*m**3 + 6 + 2*m**4 + 24*m**2 = 0.
-3, -1
Let u(o) be the first derivative of -o**3/24 + 347*o**2/16 + 525*o/4 + 13066. Solve u(l) = 0 for l.
-3, 350
Let w(q) = -2*q**3 + q**2 + q + 1. Let f(x) be the first derivative of -13*x**4/4 + 18*x**3 - 68*x**2 + 124*x - 76. Let d(h) = -f(h) + 4*w(h). Solve d(i) = 0.
2, 6
Let f = 911 + -911. Suppose 4*i - 12 = -f, 5*w - 4*i - 3 = 0. Factor -1/8*d**4 + 0*d + 1/4*d**w + 0 - 1/8*d**2.
-d**2*(d - 1)**2/8
Factor -133225/6 - 364/3*l**3 + 132860/3*l - 1/6*l**4 - 21961*l**2.
-(l - 1)**2*(l + 365)**2/6
Let l(r) be the first derivative of 2*r**3/3 + 53*r**2 - 220*r + 3164. Determine x so that l(x) = 0.
-55, 2
Let c = 72 - 67. Suppose 0 = -v - 2*g + 20, 17 = c*v - 3*g - 122. Solve i**2 - 6 - 13*i + 0 - 8*i + v*i = 0.
-6, 1
Let g(q) be the third derivative of -q**5/12 - 11*q**4/4 - 51*q**3/2 - q**2 + 27. Factor g(t).
-(t + 3)*(5*t + 51)
Let n = 834552 + -834549. Factor 0 - 2*t - 2*t**2 - 1/2*t**n.
-t*(t + 2)**2/2
Suppose 0 = 11*g - 13*g + 4. Let d be ((-12)/8)/(g/(-4)). Factor -3*y**3 - 7*y - 12 - 13*y + 8*y**3 - 4*y**2 - y**d.
4*(y - 3)*(y + 1)**2
Let k(u) be the second derivative of u**4/3 + 236*u**3/3 + 234*u**2 - 3*u + 61. Factor k(m).
4*(m + 1)*(m + 117)
Suppose 0 = -3*d - 44 + 59. Factor -86*l**4 - 197*l**4 - 624*l**2 + 144*l - 237*l**4 + 916*l**3 - 8*l**d + 108*l**5.
4*l*(l - 2)**2*(5*l - 3)**2
Let s be -2*10/(-16) - 20/16. Let o(b) = 3*b**2 - 4*b + 1. Let q be o(1). Solve 3/11*w**4 + q - 1/11*w**5 + 0*w + s*w**2 - 2/11*w**3 = 0.
0, 1, 2
Suppose 9*q + 4 = -2*l + 37, 0 = 6*q - 3*q - 9. Suppose -14/15*g**4 + 12/5*g**l + 0 - 8/3*g**2 + 2/15*g**5 + 16/15*g = 0. What is g?
0, 1, 2
Let s(z) be the first derivative of 3/20*z**4 + 126 - 12/5*z**3 + 72/5*z**2 - 192/5*z. Factor s(j).
3*(j - 4)**3/5
Let j(a) = -1373*a + 19224. Let z be j(14). Find p, given that -1/4*p**z + 1/4 + 0*p = 0.
-1, 1
Let u(x) be the second derivative of -2*x**6/3 + 7*x**5/5 + 43*x**4/3 - 42*x**3 + 36*x**2 - 2208*x - 1. Suppose u(b) = 0. Calculate b.
-3, 2/5, 1, 3
Suppose 416*b - 144 = 410*b. Suppose 12*o - b*o = -336. Factor o*r + 10 + 98/5*r**2.
2*(7*r + 5)**2/5
Let y(r) be the third derivative of -r**7/840 - r**6/24 - 67*r**5/240 - r**4/2 - 1800*r**2. Find i such that y(i) = 0.
-16, -3, -1, 0
Let t be 5 - ((16 - 10) + -7). Let l(x) be the third derivative of 0 + 0*x**4 + 18*x**2 - 1/24*x**t + 0*x + 1/12*x**5 + 0*x**3. Factor l(r).
-5*r**2*(r - 1)
Let t(r) be the first derivative of -141 - 505/4*r**2 - 215/3*r - 35/18*r**3. Factor t(y).
-5*(y + 43)*(7*y + 2)/6
Let i(u) be the third derivative of -u**9/5040 + u**7/840 + 71*u**4/12 + 51*u**2. Let o(g) be the second derivative of i(g). Factor o(p).
-3*p**2*(p - 1)*(p + 1)
Suppose 622911*j = 622853*j + 174. Suppose 0 - 2/11*x**j - 12/11*x**2 - 10/11*x = 0. Calculate x.
-5, -1, 0
Let d(v) be the first derivative of 25/12*v**4 + 0*v**2 - 11 + 0*v - 1/72*v**6 - 1/8*v**5 - 7/3*v**3. Let u(t) be the third derivative of d(t). Factor u(b).
-5*(b - 2)*(b + 5)
Let n(m) = 2*m**2 + 48*m - 218. Let d be n(-28). Let l(p) be the first derivative of 0*p**2 - 2*p**3 + 3/4*p**4 + 5/2*p**d + 0*p + 11 + 24/5*p**5. Factor l(z).
3*z**2*(z + 1)**2*(5*z - 2)
Determine j so that -1789*j**2 - 17 - 25*j**4 + 2442*j**2 - 8951*j**2 + j**4 - 5556*j**3 - 4143*j - 673 = 0.
-230, -1/2
Let m(r) = -2*r**3 - 60*r**2 - 164*r - 50. Let h be m(-27). Factor 12/11*a**3 + 0 + 18/11*a**h + 6/11*a**5 + 0*a + 0*a**2.
6*a**3*(a + 1)*(a + 2)/11
Let o(f) be the third derivative of f**7/280 + f**6/20 + 11*f**5/80 - f**4/4 - 3*f**3/2 + 2323*f**2. Let o(y) = 0. Calculate y.
-6, -2, -1, 1
Let n = -2317760/399 - -40695/7. Let v = -56/57 + n. Determine r so that v*r + 1/3*r**3 - 2 - 2*r**2 = 0.
1, 2, 3
Let f(k) be the first derivative of -4*k**5/5 - 216*k**4 - 45784*k**3/3 + 47088*k**2 - 47524*k + 4808. Find v, given that f(v) = 0.
-109, 1
What is i in -20/3*i - 2/3*i**2 + 22/3 = 0?
-11, 1
Suppose -5*c + 1 = -3*k, 3*k + 4*c - 7 = 10. Suppose 5*n - 20 = 0, -k*n - 6 = -d - 2*d. Suppose o**2 - o**4 - o**3 + o + d - 6 = 0. Calculate o.
-1, 0, 1
Let c(p) be the first derivative of 18*p - 1/15*p**5 + 2/3*p**2 + 15 + 1/3*p**4 - 2/3*p**3. Let k(f) be the first derivative of c(f). Find v such that k(v) = 0.
1
Let s(p) = 14*p**3 + 2*p**2 + 7*p - 13. Let r be s(4). Let n = r + -2828/3. Factor -n*m + 2/3 - 1/3*m**2.
-(m - 1)*(m + 2)/3
Let u(d) = -4*d**3 - 12*d**2 + 23*d + 35. Let j(q) = -q + 3. Let m(k) = -j(k) + u(k). Factor m(x).
-4*(x - 2)*(x + 1)*(x + 4)
Let s(f) be the second derivative of -f**7/21 + 2*f**6/15 + 4*f**5/5 - 3*f**4 + 3*f**3 - 128*f + 37. Solve s(h) = 0 for h.
-3, 0, 1, 3
Let i(r) = 7*r**3 - 19*r**2 + 67*r + 5. Let q(x) = -2 - 33*x - 110*x**2 - 3*x**3 + 120*x**2 - x. Let w(j) = 2*i(j) + 5*q(j). Factor w(p).
-p*(p - 6)**2
Let i(t) be the third derivative of -3/10*t**5 + 0*t - 3*t**3 + 0 + 1/40*t**6 + 11/8*t**4 + 30*t**2. Solve i(b) = 0.
1, 2, 3
Suppose 18819 = -73*t + 124*t. Let x = -369 + t. Suppose -4/7*q**3 + 4/7*q - 2/7*q**4 + x + 2/7*q**2 = 0. What is q?
-2, -1, 0, 1
Let h = 4326/85 - 37574/765. Determine k, given that 4/3*k**2 + h + 2/9*k**3 - 10/3*k = 0.
-8, 1
Let r be (-148)/(-48) + -1 + (-1)/(-54)*(-2853)/634. Suppose r*l**2 - 16/7 + 12/7*l**3 + 2/7*l**4 - 12/7*l = 0. What is l?
-4, -2, -1, 1
Let a = -251413/15 - -16761. Let w(m) be the first derivative of 0*m**3 - 7/18*m**6 - a*m**5 + 0*m**2 + 0*m**4 + 51 + 0*m. Let w(k) = 0. Calculate k.
-2/7, 0
Let u = -151 + -116. Let t = 186 - u. Factor 453 - 6*c**3 - 2*c**2 - 6*c**4 - t - 2*c**5.
-2*c**2*(c + 1)**3
What is x in 292*x - 113*x + x**2 - 79*x - 84*x = 0?
-16, 0
Let w = 142068 + -426190/3. Factor -1/6*u**2 - 98/3 - w*u.
-(u + 14)**2/6
Let b(x) be the second derivative of 