149/10 + -27/5. Let k(i) = -i**3 - 3*i**2 + 39*i - 1. Let f be k(-8). Factor -f + 3/2*w**2 - h*w.
(w - 7)*(3*w + 2)/2
Let i(z) be the third derivative of -10658/3*z**3 + 104*z**2 + 0*z - 73/3*z**4 - 1/15*z**5 + 0. Find g, given that i(g) = 0.
-73
Let c(b) = 13*b - 45 - b**3 + 4*b + 0*b**3 - 11*b**2 - 11*b. Let p be c(-12). Factor -20*y - 11*y**2 - p - 25*y**2 + 5*y**3 + 3*y**3 + 74*y.
(2*y - 3)**3
Let v(g) be the first derivative of -g**4/16 - 13*g**3/12 - 11*g**2/4 - 108. Factor v(w).
-w*(w + 2)*(w + 11)/4
Suppose -121/6*m + 1/6*m**3 + 11/6*m**2 - 1331/6 = 0. What is m?
-11, 11
Let r(m) = -4*m**3 - 5*m**2 + 8*m + 74. Let a(u) = u**3 - u**2 - u - 4. Let n(o) = -20*a(o) - 4*r(o). Factor n(q).
-4*(q - 9)*(q - 3)*(q + 2)
Let s(b) be the second derivative of b**6/30 + 21*b**5/10 - 47*b**4/12 - 28*b**3 + 86*b**2 + 100*b + 37. Find l, given that s(l) = 0.
-43, -2, 1, 2
Suppose -5*r = -5*q + 25, 12*q - r + 7 = 15*q. Find h such that 352/5*h**q - 4/5 + 66/5*h**5 - 228/5*h**2 - 248/5*h**4 + 62/5*h = 0.
1/11, 2/3, 1
Let f = -3 - -5. Let d(u) = 3*u**2 + u - 8. Let h be d(-2). Find y such that 13*y + 26*y**3 - 37*y**2 - h + y - 8*y**4 + 7*y**f + 0 = 0.
1/4, 1
What is h in -1863*h + 25413546*h**2 - 8803208 - 25413548*h**2 - 6529*h = 0?
-2098
Suppose -7*f = 125 - 139. Find y, given that -3*y**2 - 17 + 48*y - 11 - 2 - f - 13 = 0.
1, 15
Suppose 3*f = 4*r + 4*f - 19, 0 = r + f - 4. Suppose 5*q = r*y + 159 - 34, -3*y + 37 = q. Factor 0*j**3 + 4*j**2 + j**5 + q*j + 3*j**3 - 4*j**4 - 17*j - 15*j.
j*(j - 2)**2*(j - 1)*(j + 1)
Suppose 5*j - y = -3*y + 25, 25 = 5*y. Let -4*z - 6 + 6*z**2 - 236*z**3 - 3*z + 4*z + 239*z**j = 0. What is z?
-2, -1, 1
Suppose 2*p - 125 = 5*x, -14 = 4*x + 6. Let h be -3 - (16/1)/(p/(-15)). Determine y, given that 0 - 33/5*y**4 + 0*y + h*y**5 - 12/5*y**2 + 36/5*y**3 = 0.
0, 2/3, 1, 2
Factor -5130*p - 72 + 64*p**3 + 10287*p + 100*p**2 - 5249*p.
4*(p - 1)*(p + 2)*(16*p + 9)
Let d(n) = -2*n**3 + 30*n**2 - 34*n - 230. Let c be d(13). Find m such that 54/7*m**c - 3*m**2 + 24/7*m**5 - 9/7*m + 3/7 + 3*m**3 = 0.
-1, 1/4, 1/2
Let b be 15/(-35)*(-5600)/600. Let r = -3877 - -27203/7. Factor 32/7*y - r + 4/7*y**3 + b*y**2.
4*(y - 1)*(y + 4)**2/7
Solve 143*t + 594*t**2 - 84*t - 1186*t**2 + 980 + 596*t**2 + 109*t = 0 for t.
-35, -7
Let z(h) be the third derivative of -h**5/100 + h**4/4 + 39*h**3/10 + 19*h**2 + 9. Determine l, given that z(l) = 0.
-3, 13
Let p(k) be the first derivative of 5*k**3/3 - 310*k**2 + 1220*k + 3629. Factor p(b).
5*(b - 122)*(b - 2)
Let h = 476 + -3323/7. Suppose -2*a + 10 = 7*l, -l - 8*a + 9*a = 5. Solve 0*s + h*s**3 + 2/7*s**2 + l = 0 for s.
-2/9, 0
Let q(l) be the first derivative of -21/2*l**2 + 4*l**3 + 10*l - 52 - 1/4*l**4. Factor q(x).
-(x - 10)*(x - 1)**2
Let g(h) be the first derivative of -h**4/84 + 37*h**3/21 - 1369*h**2/14 + 77*h + 191. Let b(v) be the first derivative of g(v). Find r such that b(r) = 0.
37
Suppose 3*l - 56 = -7*i + 6*i, -5*l = -5*i - 120. Let z = -19 + l. Factor -7/4*u**2 + z - 3/4*u.
-(u + 1)*(7*u - 4)/4
Let g(m) be the second derivative of 3/50*m**5 + 8/5*m**2 + 1/150*m**6 - 196*m - 4/5*m**3 + 0 + 1/60*m**4. Factor g(j).
(j - 1)**2*(j + 4)**2/5
Let x be -1 + 3/(-3) + 11. Suppose -4*q = -2*g + 36, x*g - 4*g + 4*q = 132. Factor -5 - g*w**2 - 3*w**2 - 20*w - 10*w + 2*w**2.
-5*(w + 1)*(5*w + 1)
Let 0 - 45/4*u - 3/4*u**2 = 0. What is u?
-15, 0
Suppose p - 7 = 3*x, 0 = -4*x - 0*p - p - 7. Let l be (-30)/(-9)*(-3)/x. Factor -3*o**4 - o**l + 9 - o**2 - 8 - 3*o**3 - 1.
-o**2*(o + 1)**3
Determine w, given that 13*w - 56 - 18176*w**4 + 2*w**5 + 50*w**2 + 36361*w**4 + 35*w - 50*w**3 - 18179*w**4 = 0.
-7, -1, 1, 2
Let i(p) = 8*p**4 - 44*p**3 - 288*p**2 - 500*p - 256. Let v(d) = -7*d**4 + 44*d**3 + 288*d**2 + 499*d + 256. Let x(n) = 3*i(n) + 4*v(n). Solve x(k) = 0.
-2, -1, 16
Factor 75*g**3 + 95*g + 3 + 1 - 64*g + 119*g**2 - 91*g.
(g + 2)*(3*g - 1)*(25*g - 2)
Let j(s) = -s**3 + 15*s**2 - 19*s + 62. Let u be j(14). Let a be -3*(u - (-19)/3). Factor 1/4*v**3 - 3/4*v**4 + 3/4*v**2 + 0 - 1/2*v + 1/4*v**a.
v*(v - 2)*(v - 1)**2*(v + 1)/4
Let j(u) = -u**2 + u. Let g(w) = 68*w**2 - 84*w + 25. Let a be (-6 + (-15)/(-5) - -4) + 3. Let b(q) = a*j(q) + g(q). Find y such that b(y) = 0.
5/8
Solve 0 - 20/3*c**4 - 31/3*c**2 - 2*c + 19*c**3 = 0 for c.
-3/20, 0, 1, 2
Let s(y) be the second derivative of y**6/150 + 3*y**5/50 + 2*y**4/15 - y**3/5 - 9*y**2/10 + 5*y - 216. Suppose s(d) = 0. Calculate d.
-3, -1, 1
Let t = -114123/2 - -57062. Solve -t*x - 1/6*x**3 + 0 + 5/6*x**2 - 1/6*x**4 = 0.
-3, 0, 1
Suppose 386 - 66*q + 287*q + 2*q**2 + 11*q - 156 = 0. What is q?
-115, -1
Let a(w) be the third derivative of w**7/42 + 5*w**6/12 + 5*w**5/12 - 25*w**4/3 - 30*w**3 - 839*w**2 + w. Solve a(t) = 0.
-9, -2, -1, 2
Let a(j) be the third derivative of -j**8/168 + j**6/30 - j**4/12 - j**2 + 47. Determine z so that a(z) = 0.
-1, 0, 1
Let p(h) = 14*h**2 + 783*h + 794. Let j(o) = -12*o**2 - 784*o - 792. Let m(c) = -5*j(c) - 4*p(c). Let m(d) = 0. What is d?
-196, -1
Let b = 303 + -242. Factor -93*t**3 + 60*t**2 - 16*t - 15*t**4 + 3*t**4 + b*t**3.
-4*t*(t - 1)*(t + 4)*(3*t - 1)
Let d(m) be the second derivative of 2/21*m**3 - 1/42*m**4 - 1 - 54*m - 1/35*m**5 + 0*m**2 + 1/105*m**6. Let d(w) = 0. Calculate w.
-1, 0, 1, 2
Let v be (-22)/33*(-1 + (-1565)/10). Let b be (-7)/(v/40)*21/(-35). Solve -2/5*q**3 + b*q**2 + 0 - 6/5*q = 0 for q.
0, 1, 3
Let n(o) be the first derivative of -o**4/22 - 14*o**3/33 + 72*o/11 + 5185. Factor n(h).
-2*(h - 2)*(h + 3)*(h + 6)/11
Let x(s) be the second derivative of -3*s**5/80 - s**4/16 + 5*s**3/4 - 3*s**2 + 2*s + 81. Solve x(z) = 0 for z.
-4, 1, 2
Suppose -34/13*c**2 + 0 + 2/13*c**3 + 140/13*c = 0. Calculate c.
0, 7, 10
Let n(z) be the third derivative of -1/18*z**6 + 5/6*z**3 + 0 - 2*z - 43*z**2 + 17/36*z**5 - 10/9*z**4. Factor n(t).
-5*(t - 3)*(t - 1)*(4*t - 1)/3
Let c(a) be the second derivative of 1/60*a**5 + 0*a**4 - 1/120*a**6 - a + 0*a**3 + 0 + a**2. Let n(k) be the first derivative of c(k). Solve n(z) = 0.
0, 1
Let d(s) be the first derivative of -29160*s - 2430*s**2 + 30 - 90*s**3 - 5/4*s**4. What is m in d(m) = 0?
-18
Let h(g) be the first derivative of -g**6/480 - g**5/20 - 3*g**4/8 + 25*g**3/3 - g**2/2 + 46. Let z(u) be the third derivative of h(u). Factor z(m).
-3*(m + 2)*(m + 6)/4
Let t(j) = 3*j**4 + j**3 + j - 1. Let p(f) = 23*f**4 + 1761*f**3 - 7075*f**2 + 8871*f - 3556. Let o(l) = p(l) - 6*t(l). Solve o(r) = 0 for r.
-355, 1, 2
Factor 20 - 66*z - 2*z**5 + 24*z**4 + 36*z**2 - 4 + 17*z**2 + 16*z**2 - 76*z**3 + 35*z**2.
-2*(z - 8)*(z - 1)**4
Let n(h) be the second derivative of 7*h**6/30 + 13*h**5/30 - h**4/12 - 111*h**2/2 - h - 1. Let g(x) be the first derivative of n(x). Factor g(q).
2*q*(q + 1)*(14*q - 1)
Let t(y) be the third derivative of 143/40*y**5 + 0*y - 323/12*y**4 + 289/3*y**3 - 84*y**2 + 0 + 1/420*y**7 - 19/120*y**6. Factor t(j).
(j - 17)**2*(j - 2)**2/2
Let n(b) be the second derivative of b**4/18 + 431*b**3/9 + 428*b**2 - 4346*b. Solve n(k) = 0.
-428, -3
Let k(h) = -45*h**3 + 2991*h**2 - 247002*h - 82662. Let c(b) = 51*b**3 - 2992*b**2 + 247001*b + 82661. Let j(s) = -6*c(s) - 7*k(s). Let j(v) = 0. Calculate v.
-1/3, 166
Let j(b) be the second derivative of -b**6/10 - 42*b**5/5 + 87*b**4/2 - 88*b**3 + 177*b**2/2 + 230*b. Find c, given that j(c) = 0.
-59, 1
Suppose 0 = o + 4*v - 2, -4*v = -o - 3*o + 8. Suppose 0 = o*u - 14*u + 8*u. Factor 6/7*p**2 - 36/7*p - 2/7*p**4 + 8/7*p**3 + u.
-2*p*(p - 3)**2*(p + 2)/7
Let c(s) be the third derivative of 2 - 3/8*s**4 + 57*s**2 - 1/56*s**8 - 3/70*s**7 - s**3 + 1/4*s**5 + 1/8*s**6 + 0*s. Suppose c(l) = 0. What is l?
-2, -1, -1/2, 1
Let s = 49 + 11. Let m = s - 48. What is v in v**4 + 0*v**4 - 5*v**4 - m*v + 20*v**2 - 4*v**3 = 0?
-3, 0, 1
Let y be -4*3/210 + (-23424)/(-36295). Factor y*j + 8/17*j**2 - 12/17.
2*(j + 2)*(4*j - 3)/17
Let f be 8*6725/(-18000) + 2/((-2)/(-3)). Let p(q) be the third derivative of 0*q - 1/9*q**3 - 16*q**2 - f*q**5 + 1/18*q**4 + 0. Suppose p(j) = 0. What is j?
1
Let b be (6/10)/(2/35*42). Solve b*c**3 - 5/4*c - 7/4*c**2 + 75/4 = 0.
-3, 5
Let x = -589 - -2088. Suppose 0 = -4*o + 1507 - x. Factor 1/5*q**4 - 2/5*q**3 + 0*q + 0*q**o + 0.
q**3*(q - 2)/5
Let s(v) be the third derivative of -v**6/240 + 3143*v**5/40 - 9878449*v**4/16 