2 + 3*w - 4. Let d(c) = a*p(c) - 4*n(c). Suppose d(s) = 0. What is s?
-2, 1
Suppose 5*d + 20 = y, -d - 4 = -14*y + 16*y. Let g(p) be the second derivative of -32*p**2 + 16/3*p**3 - 1/3*p**4 + y + 7*p. Factor g(q).
-4*(q - 4)**2
Suppose -2*s - 2 = -8. Suppose -151*x**4 + 54*x**4 + 32 + 112*x**2 + 288*x - 224*x**s - 34*x**5 - 77*x**4 = 0. Calculate x.
-2, -2/17, 1
Suppose -25/3*b**4 - 136/3*b**2 - 115/3*b**3 + 0 - 16*b = 0. What is b?
-3, -4/5, 0
Let y be -1*(4 - 4774/35). Let i = y - 132. Factor -4/5*o + 6/5 - i*o**2.
-2*(o - 1)*(o + 3)/5
Let w = 198 + -194. Let q(t) be the first derivative of 4/5*t - w + 1/3*t**3 + 4/5*t**2 + 1/20*t**4. Factor q(v).
(v + 1)*(v + 2)**2/5
Let d be (-12 - -7)*(-12)/10. Let c be (0 - 1/(-1))*0. What is a in -d + a**2 + c*a**2 + 18 - 4*a**2 = 0?
-2, 2
Find k, given that -392/19*k + 0 - 2/19*k**3 + 56/19*k**2 = 0.
0, 14
Let o be ((-56)/(-40) + -1)*5. Factor -12/7*j - 18/7 - 2/7*j**o.
-2*(j + 3)**2/7
Let t be (31/(-186)*30)/(2 + -1) + 5. What is g in -10/7*g**2 - 12/7*g + 10/7*g**4 + 10/7*g**3 + t + 2/7*g**5 = 0?
-3, -2, -1, 0, 1
Let h be ((-6)/35*5)/(((-48)/7)/6). Let -3/4*d**2 - h*d + 3/2 = 0. What is d?
-2, 1
Suppose 3*w + 8 = -3*a + 2*a, -2*a + 4*w + 24 = 0. Find j such that 0 + 2/13*j**a + 2/13*j + 6/13*j**3 + 6/13*j**2 = 0.
-1, 0
Solve -42*d + 4/3 + 60*d**2 = 0 for d.
1/30, 2/3
Let f = 1346 + -79410/59. Let v = f + 51/118. Suppose 0 - 1/2*o**3 + o**2 - v*o = 0. Calculate o.
0, 1
Suppose -6*q = -6 - 36. Let 7*o + 1 - o**2 - 2 + q - 6*o = 0. What is o?
-2, 3
Let c(s) be the second derivative of s**6/70 - 27*s**5/140 + s**4/2 - 489*s. Solve c(o) = 0.
0, 2, 7
Let 4/7*p**2 + 8 + 36/7*p = 0. Calculate p.
-7, -2
Let l = -1 - -9. Let -r**5 + 2*r**3 - 11 + l + 6*r**2 - 3*r**4 - 2*r + r = 0. Calculate r.
-3, -1, 1
Let x be -10*(-1)/(4/(-4)). Let k = 12 + x. Factor -2/7*a + 2/7*a**3 - 2/7*a**k + 0 + 2/7*a**4.
2*a*(a - 1)*(a + 1)**2/7
Factor 56 + 2/5*t**2 - 66/5*t.
2*(t - 28)*(t - 5)/5
Let i(a) = -6*a**2 - 24*a. Let z(y) = 7*y**2 + 25*y. Let p(k) = -6*i(k) - 5*z(k). Solve p(d) = 0 for d.
-19, 0
Let k = -317/36 - -80/9. Let x(b) be the first derivative of 2 - 1/10*b**5 + 1/8*b**4 + 1/6*b**3 + 0*b**2 + 0*b - k*b**6. Factor x(d).
-d**2*(d - 1)*(d + 1)**2/2
Find u, given that 1020*u + 7 - 6384*u**2 + 6 - 49 + 9747*u**3 - 12 = 0.
2/19, 4/9
Suppose -31 = -3*t - 22. Let b = t - 1. Determine i so that -2*i - 8*i**4 + i**2 - 9*i**2 - b*i**5 - 12*i**3 + 0*i**5 = 0.
-1, 0
Let a(y) be the third derivative of y**6/30 - 3*y**5/40 + y**4/48 - 103*y**2. Factor a(x).
x*(x - 1)*(8*x - 1)/2
Let c(v) be the second derivative of 0 + 3/140*v**5 + 0*v**2 + 3*v - 2/7*v**3 + 3/28*v**4. Factor c(o).
3*o*(o - 1)*(o + 4)/7
Let j(b) be the third derivative of -1/32*b**4 + 0 + 1/1680*b**7 + 0*b**3 - 7/960*b**6 - 13/480*b**5 + 1/2688*b**8 + 4*b - 7*b**2. Factor j(h).
h*(h - 3)*(h + 1)**2*(h + 2)/8
Let u(o) be the second derivative of -o**5/22 - 2*o**4/11 - 4*o**3/33 + 7*o + 1. Suppose u(j) = 0. What is j?
-2, -2/5, 0
Factor 0 + 7/2*k**2 + k**3 - k - 7/2*k**4.
-k*(k - 1)*(k + 1)*(7*k - 2)/2
Let i(m) = m + 15. Suppose 3*f + 50 = -2*f. Let t be i(f). Let -3*k**5 - 3*k + 3*k**4 - 6*k**2 + 3 + 11*k**3 - t*k**3 + 0*k**3 = 0. What is k?
-1, 1
Let l = -52/21 + 541/210. Let r(z) be the first derivative of 5 + l*z**5 - 1/4*z**2 + 1/8*z**4 + 0*z - 1/6*z**3. Factor r(y).
y*(y - 1)*(y + 1)**2/2
Let m be ((-26)/52)/(5*(-3)/12). Factor -8/5 + 8/5*k - m*k**2.
-2*(k - 2)**2/5
Find m, given that -16/7*m**3 - 2/7*m**4 - 66/7 + 68/7*m**2 + 16/7*m = 0.
-11, -1, 1, 3
Let z(k) be the second derivative of k**7/63 - 2*k**6/9 + 17*k**5/30 + 14*k**4/9 - 515*k. What is s in z(s) = 0?
-1, 0, 4, 7
Let y(v) be the second derivative of v**4/8 + 7*v**3/4 + 15*v**2/2 - 169*v. Suppose y(o) = 0. Calculate o.
-5, -2
Let b(y) be the first derivative of 3*y**4/4 + 21*y**3 + 180*y**2 + 300*y + 165. Determine c, given that b(c) = 0.
-10, -1
Let g = -272/3297 - -2/21. Let m = g + 149/628. Factor -m + 1/2*w - 1/4*w**2.
-(w - 1)**2/4
Determine h so that -10*h + 10*h**3 - 89 - 95 + 2*h**4 + 0*h**4 - 30*h**2 + 212 = 0.
-7, -1, 1, 2
Let m(a) be the second derivative of 0 - 16*a - 4/15*a**3 - 1/3*a**4 + 0*a**2 - 4/25*a**5 - 2/75*a**6. Determine c so that m(c) = 0.
-2, -1, 0
Let y(g) be the first derivative of g**6/60 + 3*g**5/50 - 2*g**3/15 - 59. Factor y(l).
l**2*(l - 1)*(l + 2)**2/10
Let v(z) = z**3 - 5*z**2 - 5*z - 3. Let l be 11/2 - (-5)/10. Let w be v(l). Factor 3*a**2 - 3*a + 2 - w*a**2 + a**3 + 0*a**2.
(a - 1)**2*(a + 2)
Let j(o) be the second derivative of 0*o**3 - 1/147*o**7 + 0*o**2 + 3/70*o**5 + 1/21*o**4 + 0 - 14*o + 0*o**6. Suppose j(n) = 0. Calculate n.
-1, 0, 2
Let l(z) be the third derivative of z**4/24 - 4*z**2. Let t be l(3). Factor -2*x**3 - 6*x**3 + 0*x**5 + x + 4*x**5 + t*x.
4*x*(x - 1)**2*(x + 1)**2
Let f(i) = 475*i + 2375. Let t be f(-5). Factor 3/7*d - 3/7*d**3 - 4/7*d**4 + 4/7*d**2 + t.
-d*(d - 1)*(d + 1)*(4*d + 3)/7
Let s(q) be the first derivative of -10*q**3/7 - 3*q**2 - 12*q/7 + 242. Factor s(d).
-6*(d + 1)*(5*d + 2)/7
Let u be 316/228 + (-10)/190. Let z(v) be the first derivative of 0*v**2 - 5 + 0*v - v**4 + u*v**3. Factor z(i).
-4*i**2*(i - 1)
Let y(g) = 12*g**3 - 28*g**2 - 8*g + 8. Let c(n) = n**3 - 5*n**2 + n + 1. Let s(z) = -8*c(z) + y(z). Determine b, given that s(b) = 0.
-4, 0, 1
Let r be ((-10478)/2604 + (-9)/(-2))*(-1)/(-5). Factor -32/21*o - 128/21 - r*o**2.
-2*(o + 8)**2/21
Let j(t) be the second derivative of -2*t**7/7 + 3*t**6/2 - 6*t**5/5 - 3*t**4/4 - 2*t - 4. Let j(s) = 0. What is s?
-1/4, 0, 1, 3
Let k(s) be the first derivative of 2*s**5/25 + 3*s**4/10 + 2*s**3/15 - 3*s**2/5 - 4*s/5 + 87. What is w in k(w) = 0?
-2, -1, 1
Let l(i) = i**2 - i. Let f = 5 + -9. Suppose -26*h + 8*h + 72 = 0. Let k(r) = -r. Let t(c) = f*l(c) + h*k(c). Factor t(d).
-4*d**2
Factor 2/5*b**4 + 0*b + 0 + 6/5*b**3 - 8/5*b**2.
2*b**2*(b - 1)*(b + 4)/5
Let r = -264 - -159. Let k = -102 - r. Factor 3/7*j - 3/7*j**k + 3/7*j**2 - 3/7.
-3*(j - 1)**2*(j + 1)/7
Let d be 18/10 - (-1)/5. Factor l + 2*l - 457*l**2 + 2 - 3*l**3 + 455*l**d.
-(l - 1)*(l + 1)*(3*l + 2)
Let u be 20/12 - ((-80)/24 + 3). Let x(j) be the second derivative of -2/45*j**6 + 0*j**4 + 9*j + 0 - 2/63*j**7 + 0*j**u + 0*j**5 + 0*j**3. Factor x(y).
-4*y**4*(y + 1)/3
Factor 6*h**2 - 22*h + 24 - 1/2*h**3.
-(h - 6)*(h - 4)*(h - 2)/2
Suppose 2*c - 24 = -3*x, 86*x - 91*x + 27 = -c. Solve 12/5*o + 42/5*o**2 - 9/5*o**4 - 3/5*o**c - 24/5 = 0 for o.
-2, -1, 2/3, 2
Let n = -348 - -352. Let g(w) be the first derivative of -1/5*w**5 + 2/3*w**3 + 0*w**2 + 2 + 0*w**n - w. Solve g(c) = 0 for c.
-1, 1
Let b(x) be the second derivative of -3*x**6/40 - 7*x**5/10 - 7*x**4/8 + 2*x**3 + 8*x**2 - 20*x. Let r(c) be the first derivative of b(c). Factor r(h).
-3*(h + 1)*(h + 4)*(3*h - 1)
Let g(u) be the third derivative of u**5/12 - 5*u**4/12 - 20*u**3/3 + 5*u**2 + 5*u. Determine p, given that g(p) = 0.
-2, 4
Suppose -9*w + 10*w = -4*c, 4*c = 3*w. Solve 2/7*b**3 + 2/7*b**2 - 2/7*b**5 + c*b + 0 - 2/7*b**4 = 0.
-1, 0, 1
Suppose 330 = -6*r + 354. Let y(w) be the second derivative of 5/3*w**r + 3*w + 1/5*w**5 + 8*w**2 + 0 + 16/3*w**3. Factor y(b).
4*(b + 1)*(b + 2)**2
Let g(a) be the third derivative of -a**7/1050 + 11*a**6/600 - 9*a**5/100 + 5*a**4/24 - 4*a**3/15 + 46*a**2. Factor g(t).
-(t - 8)*(t - 1)**3/5
Let u(t) = 3*t**3 + 3*t**2 - 27*t - 25. Let c(z) = -30*z**3 - 30*z**2 + 270*z + 249. Let s(k) = -2*c(k) - 21*u(k). Factor s(d).
-3*(d - 3)*(d + 1)*(d + 3)
Suppose 0 = d - 10*d + 18. Factor 4*m**2 + 5*m**5 - 2*m**5 - 4*m**5 - m**5 + d*m - 4*m**4.
-2*m*(m - 1)*(m + 1)**3
Let l(j) be the third derivative of j**8/224 + j**7/10 + 7*j**6/8 + 19*j**5/5 + 145*j**4/16 + 25*j**3/2 - 8*j**2 - 5*j. Let l(k) = 0. What is k?
-5, -2, -1
Let v be (1/(20/72))/3. Let -24/5*o + v*o**2 + 0 = 0. What is o?
0, 4
Let d(s) be the second derivative of -10*s - 3/2*s**2 + 0 - 1/2*s**3. Let k(j) = j**2 - 1. Let o(c) = -d(c) + 3*k(c). Solve o(f) = 0 for f.
-1, 0
Let h(g) be the second derivative of -g**7/756 - g**6/90 - g**5/45 - 13*g**4/4 - 3*g + 1. Let a(m) be the third derivative of h(m). Factor a(w).
-2*(w + 2)*(5*w + 2)/3
Let b = 438 - 435. Let k(p) be the first derivative of -4*p**2 + 10/9*p**b + 8/3*p + 6. Solve k(z) = 0.
2/5, 2
Let n(y) be the third derivative of -1/