 + 222*t = 0?
-37, -3, 0, 2
Let v(t) = -10*t**2 + 50*t - 21. Let p be v(7). Let o be 46/p - (-108)/231. Suppose -2/11*w**2 + 0*w - o*w**4 - 4/11*w**3 + 0 = 0. Calculate w.
-1, 0
Let q(c) = c**2 - 8*c + 15. Let y be q(2). Factor p**5 - 11*p**4 - 11*p**4 + 8*p**4 - 27*p**3 + 76*p**y.
p**3*(p - 7)**2
Let p(v) be the first derivative of 5*v**4/16 - 13*v**3/12 - 3*v**2/4 + 975. Let p(k) = 0. Calculate k.
-2/5, 0, 3
Let y = -68 - -70. Let z be y*3*((-20)/(-8) + 1). Factor 14 - 27 - 2*t**2 + 4*t**2 + z - 8*t.
2*(t - 2)**2
Let x = -93281/12 + 31099/4. Factor 13/3*g**2 + 11/3*g + x*g**3 + 2/3.
(g + 1)*(g + 2)*(4*g + 1)/3
Suppose 1200 + 8748*j**2 - 442009*j**5 + 442205*j**5 - 5283*j - 2237*j + 2436*j**4 + 9340*j**3 = 0. What is j?
-5, -3, 2/7
Let m = 59089 + -59089. Factor -3/4*o**2 + 1/4*o**3 + m*o + 0.
o**2*(o - 3)/4
Let x(o) be the first derivative of -o**6/160 - o**5/80 + o**4/16 + 4*o**2 - 56. Let q(z) be the second derivative of x(z). Factor q(h).
-3*h*(h - 1)*(h + 2)/4
Let k be (-6)/30 - (-42)/10. Suppose -782 + 12*y**2 - 32*y**3 + 782 + 12*y**k + 8*y**5 = 0. What is y?
-3, 0, 1/2, 1
Let u(f) be the third derivative of -f**5/90 + 143*f**4/36 - 94*f**3/3 - 104*f**2 + 4. What is d in u(d) = 0?
2, 141
Let p be (6/81)/((-97)/(-582)). Solve -2/3*b**3 + 0 - 2/9*b**4 + 0*b - p*b**2 = 0.
-2, -1, 0
Let k(s) be the third derivative of -s**7/840 - 11*s**6/480 + s**5/120 + 5*s**4/4 + 94*s**2. Factor k(y).
-y*(y - 3)*(y + 4)*(y + 10)/4
Suppose -162*v - 38 = -d - 167*v, -5*v = -3*d - 26. Factor 8/11*i**2 + 1/11*i**5 + 128/11 - i**4 - 160/11*i + 34/11*i**d.
(i - 4)**3*(i - 1)*(i + 2)/11
Let g(i) be the first derivative of i**7/147 + i**6/35 + 3*i**5/70 + i**4/42 + 56*i + 75. Let q(k) be the first derivative of g(k). What is p in q(p) = 0?
-1, 0
Let h(a) be the third derivative of 32/3*a**3 - 4*a + 0 + 1/30*a**6 + 10/3*a**4 - a**2 + 8/15*a**5. Factor h(t).
4*(t + 2)**2*(t + 4)
Let u(c) be the first derivative of 0*c**4 - 19*c + 23 - 1/18*c**2 + 1/27*c**3 - 1/90*c**5 + 1/270*c**6. Let q(o) be the first derivative of u(o). Factor q(y).
(y - 1)**3*(y + 1)/9
Let b(p) = p**2 - 4*p + 3. Let w be b(3). Let a be ((-25)/(-45) + (-6604)/9360)*(-20)/8. Find z such that a*z**4 + 3/2*z**2 + 3/2*z**3 + 0 + w*z = 0.
-2, 0
Suppose -4*v - 5 = -17. Factor -25*b**2 + 5 - 26*b**3 + 41*b**v - 3*b + 8*b.
5*(b - 1)**2*(3*b + 1)
Let s = 4663/300 + -309/20. Let k(f) be the second derivative of 1/4*f**5 + 0 + 1/15*f**3 + 13/60*f**4 + 0*f**2 + s*f**6 - 11*f. Solve k(b) = 0.
-1, -1/2, -2/7, 0
Suppose -5*t = 5*n - 80, -40 = -3*t + 21*n - 20*n. Let p(h) be the second derivative of 0 + t*h + 4/9*h**3 + 1/9*h**4 + 0*h**2. Factor p(r).
4*r*(r + 2)/3
Let n(x) be the first derivative of -x**5/60 - 7*x**4/24 - x**3 - 27*x**2/2 + 15. Let i(m) be the second derivative of n(m). Suppose i(o) = 0. What is o?
-6, -1
Factor -2/11*t**2 + 452/11 - 222/11*t.
-2*(t - 2)*(t + 113)/11
Let r(w) be the first derivative of 27/4*w**3 - 9/2*w**2 + w - 27. Factor r(v).
(9*v - 2)**2/4
Let p = -3241 + 3244. Let f(z) be the third derivative of 1/300*z**5 + 1/300*z**6 - 1/1050*z**7 + 0 + 0*z + 0*z**p - 18*z**2 - 1/60*z**4. What is t in f(t) = 0?
-1, 0, 1, 2
Let h be -4 + 6 - (0/(-2))/(-5). Factor 3*w**5 - 3 + 3 - 28*w**3 + 8*w**4 - 23*w - 6*w**4 + 42*w**h + 4.
(w - 1)**3*(w + 4)*(3*w - 1)
Let w be (-57)/171*(-6)/56. Let d(g) be the first derivative of -1/21*g**3 - w*g**4 + 5/14*g**2 - 5 - 3/7*g. Factor d(k).
-(k - 1)**2*(k + 3)/7
Let c be (11/(-33))/((((-1700)/576)/(-1) - 0) + -3). Factor -4/7*k**2 + c*k + 4/7*k**4 - 48/7*k**3 + 0.
4*k*(k - 12)*(k - 1)*(k + 1)/7
Suppose 51*y - 1516 + 2847 = 1433. Find o such that -196 - 28/3*o - 1/9*o**y = 0.
-42
Let r be ((-918)/85)/(-18) + (-144)/(-10). Let t(a) be the first derivative of -9/2*a**2 - a**3 + 0*a - r. What is i in t(i) = 0?
-3, 0
Let h = -14418 + 14418. Determine t, given that 18/13*t**3 + h - 22/13*t**2 + 4/13*t = 0.
0, 2/9, 1
Let t be (28/(-294))/(2/(-7197)). Let v = 343 - t. Let -4/7*y**3 + v - 8/7*y + 10/7*y**2 = 0. Calculate y.
1/2, 1
Let f(c) = -16*c - 3*c + 4 - 96*c**2 + 123*c + 82*c. Let t(r) = -32*r**2 + 62*r + 1. Let u(w) = 3*f(w) - 8*t(w). Factor u(y).
-2*(y - 2)*(16*y + 1)
Solve 12485*t + 10896*t**2 - 21763*t**2 - 12490 + 10872*t**2 = 0 for t.
-2498, 1
Let s be 307/(-4605)*70/6*1/7*-5. What is n in 4/9*n**2 - s*n**4 - 1/9*n**5 + 0 + 8/9*n - 2/3*n**3 = 0?
-2, 0, 1
Let d be (14/(-7) - 4)/(0 + -2). What is f in 4*f**3 + 0*f**5 - 5*f**5 + 8*f**3 + 3*f**d - 10*f**2 = 0?
-2, 0, 1
Let 31*b - 1/10*b**2 - 4805/2 = 0. What is b?
155
Let n be (-1312)/30*43430/(-69488). Solve -1/3*i**2 - n*i - 1681/3 = 0.
-41
Let c be (-6)/(-9)*(-99)/(-88)*-4. Let u be (-78)/(-13)*(-2 - c). Let 8*b + 3/2*b**3 + u*b**2 + 1/8*b**4 + 0 = 0. Calculate b.
-4, 0
Let d(y) = 3*y**4 + 1073*y**3 + 57030*y**2 - 11450*y + 1. Let i(v) = 2*v**4 - 4*v**3 + v**2 + v - 1. Let u(z) = 3*d(z) + 3*i(z). Factor u(c).
3*c*(c + 107)**2*(5*c - 1)
Let m(v) be the second derivative of 18*v**2 - 28*v**3 - 27/5*v**5 + 2/5*v**6 + 81/4*v**4 - 66*v + 0. Suppose m(l) = 0. Calculate l.
1/2, 2, 6
Let b(f) = -2*f**3 + 12*f**2 + 8*f - 131. Let h be b(9). Let o be -11 + 5/((-225)/h). Factor 0 - 8/9*s - 2/9*s**4 - 16/9*s**2 - o*s**3.
-2*s*(s + 1)*(s + 2)**2/9
Let y(h) be the third derivative of -17/84*h**4 + 0 + 0*h + 4/105*h**5 + 19*h**2 + 10/21*h**3 - 1/420*h**6. What is t in y(t) = 0?
1, 2, 5
Suppose 25*u**2 - 51*u**2 - 6*u**3 + 16*u**2 - 10 + 19*u**3 + 62*u**3 - 55*u = 0. What is u?
-2/3, -1/5, 1
Let w be (6/5)/(6/10). Let k(a) = -5*a**5 + 13*a**4 - a**3 + 9*a**2. Let l(c) = -c**5 + c**4 - c**3 + c**2. Let r(n) = w*k(n) - 14*l(n). Factor r(v).
4*v**2*(v + 1)**3
Suppose -1716 = -321*p - 537*p. Solve -1521/5 + 78/5*z - 1/5*z**p = 0.
39
Let f(z) = -z**2 + 1378*z + 16680. Let x be f(-12). Suppose 2*k**4 - 36/5*k + 2/5*k**5 - 42/5*k**2 + 2/5*k**3 + x = 0. What is k?
-3, -1, 0, 2
Let a(h) be the second derivative of -10*h + 1/8*h**4 + 2187/4*h**2 + 27/2*h**3 + 6. Let a(k) = 0. What is k?
-27
Factor -1075/3*u + 356/3*u**2 + 1/3*u**3 + 718/3.
(u - 2)*(u - 1)*(u + 359)/3
Let z(n) = -6*n - 1. Let j be z(-2). Let p(t) = -t**2 + 11*t + 8. Let m be p(j). Factor 64 + 4*g**2 - 64 - m*g.
4*g*(g - 2)
Let f(i) = -85*i**2 - 9588*i - 4598403. Let s(l) = 2335*l**2 + 258875*l + 124156880. Let n(r) = 55*f(r) + 2*s(r). Determine q so that n(q) = 0.
-959
Let 4*q**4 - q**5 + 12904 + 524*q**2 - 178*q**4 - 7566*q**3 + 23055*q + 2234 = 0. What is q?
-87, -1, 2
Let c(q) be the first derivative of 5*q**4 + 8*q**3 - 58*q**2 - 24*q - 3195. What is m in c(m) = 0?
-3, -1/5, 2
Let w be -4 - (460/(-575))/(2/25). Solve -w + j**2 + 25/3*j = 0 for j.
-9, 2/3
Let u(w) be the third derivative of 0 + 0*w - 1/22*w**4 + 3/11*w**3 + 1/330*w**5 + 38*w**2. Factor u(n).
2*(n - 3)**2/11
Suppose -9 = 2*y - 11, 5*f + 2*y = 22. Let b(o) = 8*o**3 + 14*o**2 + 6*o. Let w(s) = -s**3 - 2*s**2 - s. Let r(u) = f*b(u) + 28*w(u). Factor r(q).
4*q*(q - 1)*(q + 1)
Let h(b) be the second derivative of -8/3*b**3 - 5/3*b**4 + 4 - 10*b + 2*b**2. Let h(d) = 0. What is d?
-1, 1/5
Let k(y) = -y**3 + 11*y**2 - 10*y + 12. Let a be k(10). Factor -14*x + 22*x + 28*x**2 + 8*x**3 + 0*x - a.
4*(x + 1)*(x + 3)*(2*x - 1)
Let j(f) be the first derivative of -2/21*f**3 - 18/7*f**2 - 34/7*f + 27. Suppose j(y) = 0. What is y?
-17, -1
Let n be 7 + ((-4)/(-6))/(2422/84 + -29). Factor -z + 1/3*z**5 - 2*z**n + 0 + 0*z**4 + 8/3*z**2.
z*(z - 1)**3*(z + 3)/3
Let q be (-369)/(-21) + -12 - (-2 + (-49)/(-7)). Determine o so that q*o**3 + 4*o**2 + 64/7*o + 48/7 = 0.
-3, -2
Let g(i) = 250 - 122 - 66 + 5*i. Let k be g(-12). Factor 3/5*n**k - 12/5 + 0*n.
3*(n - 2)*(n + 2)/5
Let l(k) be the third derivative of -k**5/20 + 315*k**4/8 + 477*k**3 - k**2 - k - 10. Solve l(v) = 0 for v.
-3, 318
Let t(v) = 4*v**4 + 520*v**3 - 500*v**2 - 36*v - 12. Let a(n) = -3*n**3 + n**2 + 3*n + 1. Let g(s) = -12*a(s) - t(s). Factor g(m).
-4*m**2*(m - 1)*(m + 122)
Let m(h) be the third derivative of h**5/100 - 31*h**4/40 - 16*h**3/5 - 9*h**2 + 74*h. What is i in m(i) = 0?
-1, 32
Let p(j) = 5*j**2 + 5*j + 3. Let h = 3 + -6. Let y(t) = -t + 114687*t**2 - 114688*t**2 + 5 - 4 - 2. Let m(b) = h*y(b) - p(b). Factor m(s).
-2*s*(s + 1)
Let q(h) be the second derivative of 8*h**6/3 + 98*h**5 + 12485*h**4/12 + 980*h**3 + 360*h**2 + 1304*h. Supp