 Suppose v(h) = 0. What is h?
-2/23
Factor 92/5*x - 2/5*x**2 - 608/5.
-2*(x - 38)*(x - 8)/5
Let i(u) be the third derivative of -u**7/4620 + u**6/198 - 29*u**3/2 + 23*u**2. Let t(g) be the first derivative of i(g). Factor t(w).
-2*w**2*(w - 10)/11
Suppose 13 = -2*j + 5*v, -2*v + 22 = -0*j + 2*j. Let d(l) = 6*l - 34. Let b be d(j). Factor -44*p - 3*p**b - 18*p + 12*p + 8*p**2 + 125.
5*(p - 5)**2
Let t = -54890 - -54892. Find w such that 1/4*w**t + 9/4*w + 2 = 0.
-8, -1
Let k(t) be the first derivative of -2*t**5/35 + 5*t**4/14 - 2*t**3/3 + 3*t**2/7 + 790. Suppose k(b) = 0. Calculate b.
0, 1, 3
Let p(n) be the second derivative of -34*n + 3/2*n**2 + 1/32*n**4 - 9/16*n**3 + 0. Find j such that p(j) = 0.
1, 8
Let h(n) be the first derivative of -65 + 12/5*n - 1/10*n**4 + 16/15*n**3 - 13/5*n**2. Suppose h(u) = 0. What is u?
1, 6
Let o(n) be the third derivative of -3*n**6/40 - 119*n**5/20 - 145*n**4 + 200*n**3 - 113*n**2 - 2*n. Suppose o(i) = 0. What is i?
-20, 1/3
Let y = 475392 - 1426171/3. Determine r, given that -40 + 110/3*r**2 - 100/3*r - y*r**5 + 35*r**3 + 10/3*r**4 = 0.
-2, -1, 1, 6
Suppose -21088 = -6*y - 21064. Let o(r) be the third derivative of -r**2 + 0*r + 1/96*r**y + 0*r**3 + 0 - 1/48*r**5. Factor o(h).
-h*(5*h - 1)/4
Let n(u) be the first derivative of u**3/3 + 5*u**2/2 + 8*u - 3. Let i be n(-2). Factor 9*m**2 + 2*m + 9*m**i - 6*m - 12*m**2 - 2*m**3.
-2*m*(m - 2)*(m - 1)
Let d(s) be the second derivative of -s**7/112 - 7*s**6/72 - s**5/6 + 91*s**3/6 + s**2 + 162*s. Let k(l) be the second derivative of d(l). Factor k(g).
-5*g*(g + 4)*(3*g + 2)/2
Let a(w) be the second derivative of -w**6/180 + 59*w**5/120 - 3*w**4/4 - 59*w**3/9 + 58*w**2/3 - 3120*w - 2. Find p, given that a(p) = 0.
-2, 1, 2, 58
Let v(q) be the first derivative of -q**6/30 - 13*q**5/25 + 11*q**4/10 + 646*q**3/15 + 1179*q**2/10 + 567*q/5 + 6648. Suppose v(z) = 0. Calculate z.
-9, -1, 7
Factor -128/7 + 32/7*x**2 + 1/7*x**3 - 4/7*x.
(x - 2)*(x + 2)*(x + 32)/7
Let n(a) be the first derivative of 3*a**4/32 + 11*a**3/2 + 123*a**2/16 - 129*a/4 - 2137. What is d in n(d) = 0?
-43, -2, 1
Let y = 93034 + -93032. Suppose 0 + 1/2*a**y + a - 1/2*a**3 = 0. What is a?
-1, 0, 2
Let h(f) be the second derivative of f**4/12 + 16*f**3/3 + 247*f**2/2 + 6086*f. Find w, given that h(w) = 0.
-19, -13
Let j(n) be the third derivative of 0*n**5 + 1/480*n**6 + 64*n**2 + 0*n - 1 + 9/4*n**3 - 9/32*n**4. Factor j(z).
(z - 3)**2*(z + 6)/4
Let n(m) be the first derivative of -5/3*m**3 + 5/2*m**2 + 10*m + 2. Factor n(r).
-5*(r - 2)*(r + 1)
Let k(j) = -7*j**3 - 7*j**2 - 6*j - 6. Let d = -2 - -1. Let p(v) = -v**3 + 8 + 0*v**3 - 7 + v + v**2 - v**3 + 3*v**3. Let b(f) = d*k(f) - 6*p(f). Factor b(x).
x**2*(x + 1)
Let a be -67 + 54 - (-397 - -10)/9. Let -9/2*b**3 + a*b - 18 - 3/2*b**2 = 0. What is b?
-3, 2/3, 2
Factor 4/3*l**4 + 352/3*l**3 + 33856/3 - 32384/3*l + 2336*l**2.
4*(l - 2)**2*(l + 46)**2/3
Let o be (3 + -1)/(((-4)/(-3))/1*(-54)/(-12)). Factor 2/3*j**2 + 0 - 1/3*j**3 - o*j.
-j*(j - 1)**2/3
Let 52*j**3 - 10 + 19 + 6*j - 21*j**2 - 46*j**3 = 0. Calculate j.
-1/2, 1, 3
Let -15/4*k + 135/4*k**3 + 9/2 - 135/2*k**2 + 33*k**4 = 0. What is k?
-2, -3/11, 1/4, 1
Solve -34/3*h**2 - 71/3*h + 1/3*h**3 - 12 = 0.
-1, 36
Suppose 467 = 7*w - 21940. Suppose w*z**3 + 36*z + 17*z**2 - 3197*z**3 + 7*z**2 = 0. What is z?
-3, 0
Let i(h) be the first derivative of 0*h - 19/14*h**2 - 1/21*h**3 + 141. Factor i(y).
-y*(y + 19)/7
Let d be (-1 - 5)*1 - -8. Suppose 4*l**2 + 0*l**d - 66*l - 4 + 66*l = 0. What is l?
-1, 1
Suppose 2*v = -2*g + 14, -v + 3*v - 12 = -g. Determine b, given that b**4 + 3*b**v - 2*b**5 - b**2 + 8*b**3 - 9*b**3 = 0.
-1, 0, 1
Let a(q) = -10*q - 31. Let g be a(27). Let s = g - -904/3. Factor 1/3 - t + s*t**5 + 2/3*t**2 + 2/3*t**3 - t**4.
(t - 1)**4*(t + 1)/3
Suppose 18*v - 787 = 185. Find f such that 19*f + 7*f**2 + v*f - 20*f + 28 = 0.
-7, -4/7
Suppose -j - 13 = -3*f, j = -3*j + 4*f - 12. Determine v, given that -42 - 3 - 25*v - 5*v**j - 5*v = 0.
-3
Solve -14*f**4 - 341*f**3 + 8*f + 0*f + 393*f**3 - 54*f**2 + 8 = 0.
-2/7, 1, 2
Let x(n) = n + 3. Let z be x(-7). Let f be (-6)/2 + -28*z/16. Suppose -16*h**3 + 80*h - 49 - 1 - 12*h**2 - 3*h**4 + h**f = 0. What is h?
-5, 1
Suppose -465*t + 12334 - 4*t**2 + 12315 - 24765 = 0. Calculate t.
-116, -1/4
Let j(u) = u**2 - 6*u + 5. Let v be j(5). Let q(l) be the second derivative of -l**3 + l**2 + 1/2*l**4 + v - 8*l - 1/10*l**5. Factor q(s).
-2*(s - 1)**3
Factor 59/2*a**2 + 121/4*a + 3/4.
(a + 1)*(118*a + 3)/4
Let b = 272472 + -272470. Factor 8/5*z**2 + b*z**4 + 0 - 16/5*z**3 + 0*z - 2/5*z**5.
-2*z**2*(z - 2)**2*(z - 1)/5
Let o(j) be the first derivative of j**4/20 + 3469*j**3/15 + 1505112*j**2/5 + 3006756*j/5 + 5356. Let o(c) = 0. What is c?
-1734, -1
Let o = 282 + -165. Suppose -4*q - 4*l + 140 = 24, 4*q + 5*l = o. Factor t**2 - 18*t**2 + 8 - q*t + t**2.
-4*(t + 2)*(4*t - 1)
Let o = 719507 + -719504. Factor 3/7*k**o - 6/7*k**2 + 0 - 72/7*k.
3*k*(k - 6)*(k + 4)/7
Let c(v) be the first derivative of v**4/16 - v**3/2 + 9*v**2/8 + 63*v - 34. Let k(f) be the first derivative of c(f). Factor k(l).
3*(l - 3)*(l - 1)/4
Let x(w) be the second derivative of -w**5/4 - 125*w**4/6 - 455*w**3/2 - 990*w**2 + 93*w - 2. Factor x(m).
-5*(m + 3)**2*(m + 44)
Factor 109*p**2 - 213*p + 68121 - 190*p**2 + 735*p + 82*p**2.
(p + 261)**2
Let g be (84*(-1)/(-144))/(28/32). Let 16*b**2 - 4*b**4 + 32/3*b + g*b**3 + 2/3*b**5 + 0 = 0. Calculate b.
-1, 0, 4
Let m(v) = v**4 - v**3 - v**2. Suppose -8*w - 3 = -19. Let s(z) = 8*z**4 - 70*z**3 + 506*z**2. Let a(k) = w*s(k) - 12*m(k). Factor a(o).
4*o**2*(o - 16)**2
Let c(w) = -1. Let m(o) = o**2 - 10*o + 22. Let u(b) = -3*c(b) - m(b). Let n be u(3). Let -8/7 - 4/7*f + 4/7*f**n = 0. What is f?
-1, 2
Let u = 647 - 644. Let h(y) = 2*y**4 - y**2 - 1. Let k(d) = -8*d**4 - 7*d**3 + 4*d**2 + 2. Let v(j) = u*k(j) + 6*h(j). What is q in v(q) = 0?
-2, 0, 1/4
Suppose 11*k - 1823 = 1147. Let b be (225/14)/(k/1575). Factor b + 45/4*g**2 - 3/4*g**3 - 225/4*g.
-3*(g - 5)**3/4
Let r(g) be the first derivative of 4*g**3/27 + 58*g**2/9 + 832*g/9 + 2492. Factor r(n).
4*(n + 13)*(n + 16)/9
Let w(m) = -3*m**2 + 5630*m + 5640. Let q(a) = -2*a**2 + 5628*a + 5636. Let n(x) = -7*q(x) + 6*w(x). Suppose n(r) = 0. What is r?
-1403, -1
Suppose -4 = -5*b + 6. Factor 3*p**3 + 15*p**b - 40*p + 28*p + 30*p.
3*p*(p + 2)*(p + 3)
Factor 56*a - 2/5*a**3 - 136/5*a**2 + 0.
-2*a*(a - 2)*(a + 70)/5
Let d(n) be the third derivative of -n**6/660 - 29*n**5/132 - 607*n**4/264 + 170*n**3/33 - 3*n**2 + 22*n + 3. Factor d(o).
-(o + 5)*(o + 68)*(2*o - 1)/11
Suppose -62 = -10*q - 2. Let c(m) be the third derivative of 0 + 0*m**3 + 0*m + 1/15*m**5 - 16*m**2 + 0*m**4 - 1/30*m**q. Factor c(d).
-4*d**2*(d - 1)
Let w(h) be the third derivative of 5*h**8/336 + h**7/14 + h**6/24 - h**5/4 - 5*h**4/12 - 5*h**2 + 39*h. Factor w(v).
5*v*(v - 1)*(v + 1)**2*(v + 2)
Factor 448/3*n - 43/3*n**4 + 2048/3 + 388/3*n**3 + 1/3*n**5 - 1168/3*n**2.
(n - 32)*(n - 4)**3*(n + 1)/3
Let r(s) be the second derivative of -s**6/2700 + s**5/180 + s**4/30 + 49*s**3/6 + 38*s. Let g(u) be the second derivative of r(u). Factor g(v).
-2*(v - 6)*(v + 1)/15
Let x = 418783/2 + -209390. Factor -1/2*w**2 - 1/4*w**3 + 5/4*w + x.
-(w - 2)*(w + 1)*(w + 3)/4
Let h(i) = -4*i + 63. Let z be h(2). Find j such that 18*j + 55*j**3 + 46*j**3 + z*j**3 + 15*j**2 - 153*j**3 = 0.
-3, -2, 0
Suppose 316/5*r - 29/5*r**4 + 24/5 - 90*r**2 + 201/5*r**3 = 0. Calculate r.
-2/29, 2, 3
Let i(r) be the first derivative of -r**5/12 + 5*r**4/12 - 5*r**3/6 - 15*r**2 - r - 98. Let x(f) be the second derivative of i(f). Find u, given that x(u) = 0.
1
Let y be (-1)/28*-2*(-4)/(-6). Let k = 5/42 + y. Factor 1/3*f**2 + 0 + 0*f - 1/6*f**4 - k*f**3.
-f**2*(f - 1)*(f + 2)/6
Let k(i) = 13*i + 71. Let h(j) = -6*j**2 - 2*j - 1. Let w be h(-1). Let x be k(w). Let 12*a + 15/2*a**2 - x = 0. Calculate a.
-2, 2/5
Factor -4/5*f**3 - 548/5*f**2 - 19564/5*f - 53868/5.
-4*(f + 3)*(f + 67)**2/5
Suppose 5*j - 79 = 3*k, -j + k + 15 = -2. Suppose -d - j*d = -105. Solve 8 - 3*v**2 + d*v**2 + 4*v - 11*v - 5*v = 0 for v.
1, 2
Factor -13122/17*w + 26568/17*w**2 - 2/17*w**5 + 328/17*w**4 - 13772/17*w**3 + 0.
-2*w*(w - 81)**2*(w - 1)**2/17
Factor -25*i**3 + 53*i + 29*i**3 + 5*i - 185*i - 773*i